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Finding the Fourth Proportional to 10,087.42, 15,119.90 and 7,614.22

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Solution

The fourth proportional to 10,087.42, 15,119.90 and 7,614.22 is: 11,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087.42 : 15,119.90 = 7,614.22 : x
  2. Step 2: Convert to fraction form
    10,087.42/15,119.90 = 7,614.22/x
  3. Step 3: Cross multiply
    10,087.42x = 15,119.90 × 7,614.22
  4. Step 4: Simplify right side
    10,087.42x = 115,126,244.98
  5. Step 5: Solve for x
    x = 115,126,244.98/10,087.42
  6. Step 6: Final answer
    x = 11,412.85

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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.