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Finding the Fourth Proportional to 10,071.78, 15,101.55 and 8,591.78

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Solution

The fourth proportional to 10,071.78, 15,101.55 and 8,591.78 is: 12,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.78 : 15,101.55 = 8,591.78 : x
  2. Step 2: Convert to fraction form
    10,071.78/15,101.55 = 8,591.78/x
  3. Step 3: Cross multiply
    10,071.78x = 15,101.55 × 8,591.78
  4. Step 4: Simplify right side
    10,071.78x = 129,749,119.75
  5. Step 5: Solve for x
    x = 129,749,119.75/10,071.78
  6. Step 6: Final answer
    x = 12,882.44

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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.