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Finding the Fourth Proportional to 10,173.78, 15,248.52 and 5,785.20

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Solution

The fourth proportional to 10,173.78, 15,248.52 and 5,785.20 is: 8,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.78 : 15,248.52 = 5,785.20 : x
  2. Step 2: Convert to fraction form
    10,173.78/15,248.52 = 5,785.20/x
  3. Step 3: Cross multiply
    10,173.78x = 15,248.52 × 5,785.20
  4. Step 4: Simplify right side
    10,173.78x = 88,215,737.90
  5. Step 5: Solve for x
    x = 88,215,737.90/10,173.78
  6. Step 6: Final answer
    x = 8,670.89

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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.