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Finding the Fourth Proportional to 10,833.90, 14,950.78 and 5,865.90

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Solution

The fourth proportional to 10,833.90, 14,950.78 and 5,865.90 is: 8,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.90 : 14,950.78 = 5,865.90 : x
  2. Step 2: Convert to fraction form
    10,833.90/14,950.78 = 5,865.90/x
  3. Step 3: Cross multiply
    10,833.90x = 14,950.78 × 5,865.90
  4. Step 4: Simplify right side
    10,833.90x = 87,699,780.40
  5. Step 5: Solve for x
    x = 87,699,780.40/10,833.90
  6. Step 6: Final answer
    x = 8,094.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.