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Finding the Fourth Proportional to 10,151.34, 15,226.16 and 3,487.29

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Solution

The fourth proportional to 10,151.34, 15,226.16 and 3,487.29 is: 5,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.34 : 15,226.16 = 3,487.29 : x
  2. Step 2: Convert to fraction form
    10,151.34/15,226.16 = 3,487.29/x
  3. Step 3: Cross multiply
    10,151.34x = 15,226.16 × 3,487.29
  4. Step 4: Simplify right side
    10,151.34x = 53,098,018.07
  5. Step 5: Solve for x
    x = 53,098,018.07/10,151.34
  6. Step 6: Final answer
    x = 5,230.64

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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.