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Finding the Fourth Proportional to 10,641.12, 14,680.39 and 6,101.27

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Solution

The fourth proportional to 10,641.12, 14,680.39 and 6,101.27 is: 8,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.12 : 14,680.39 = 6,101.27 : x
  2. Step 2: Convert to fraction form
    10,641.12/14,680.39 = 6,101.27/x
  3. Step 3: Cross multiply
    10,641.12x = 14,680.39 × 6,101.27
  4. Step 4: Simplify right side
    10,641.12x = 89,569,023.10
  5. Step 5: Solve for x
    x = 89,569,023.10/10,641.12
  6. Step 6: Final answer
    x = 8,417.26

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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.