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Finding the Fourth Proportional to 10,081.71, 15,123.16 and 3,061.96

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Solution

The fourth proportional to 10,081.71, 15,123.16 and 3,061.96 is: 4,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.71 : 15,123.16 = 3,061.96 : x
  2. Step 2: Convert to fraction form
    10,081.71/15,123.16 = 3,061.96/x
  3. Step 3: Cross multiply
    10,081.71x = 15,123.16 × 3,061.96
  4. Step 4: Simplify right side
    10,081.71x = 46,306,477.01
  5. Step 5: Solve for x
    x = 46,306,477.01/10,081.71
  6. Step 6: Final answer
    x = 4,593.12

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