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Finding the Fourth Proportional to 11,645.88, 16,070.90 and 6,340.58

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Solution

The fourth proportional to 11,645.88, 16,070.90 and 6,340.58 is: 8,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.88 : 16,070.90 = 6,340.58 : x
  2. Step 2: Convert to fraction form
    11,645.88/16,070.90 = 6,340.58/x
  3. Step 3: Cross multiply
    11,645.88x = 16,070.90 × 6,340.58
  4. Step 4: Simplify right side
    11,645.88x = 101,898,715.06
  5. Step 5: Solve for x
    x = 101,898,715.06/11,645.88
  6. Step 6: Final answer
    x = 8,749.77

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