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Finding the Fourth Proportional to 10,151.34, 15,229.47 and 3,912.14

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Solution

The fourth proportional to 10,151.34, 15,229.47 and 3,912.14 is: 5,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.34 : 15,229.47 = 3,912.14 : x
  2. Step 2: Convert to fraction form
    10,151.34/15,229.47 = 3,912.14/x
  3. Step 3: Cross multiply
    10,151.34x = 15,229.47 × 3,912.14
  4. Step 4: Simplify right side
    10,151.34x = 59,579,742.62
  5. Step 5: Solve for x
    x = 59,579,742.62/10,151.34
  6. Step 6: Final answer
    x = 5,869.15

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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.