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Finding the Fourth Proportional to 10,895,163.90, 16,317,862.65 and 6,416,187.90

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Solution

The fourth proportional to 10,895,163.90, 16,317,862.65 and 6,416,187.90 is: 9,609,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895,163.90 : 16,317,862.65 = 6,416,187.90 : x
  2. Step 2: Convert to fraction form
    10,895,163.90/16,317,862.65 = 6,416,187.90/x
  3. Step 3: Cross multiply
    10,895,163.90x = 16,317,862.65 × 6,416,187.90
  4. Step 4: Simplify right side
    10,895,163.90x = 104,698,472,888,791.94
  5. Step 5: Solve for x
    x = 104,698,472,888,791.94/10,895,163.90
  6. Step 6: Final answer
    x = 9,609,628.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.