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Finding the Fourth Proportional to 10,442.47, 15,627.10 and 7,484.17

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Solution

The fourth proportional to 10,442.47, 15,627.10 and 7,484.17 is: 11,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.47 : 15,627.10 = 7,484.17 : x
  2. Step 2: Convert to fraction form
    10,442.47/15,627.10 = 7,484.17/x
  3. Step 3: Cross multiply
    10,442.47x = 15,627.10 × 7,484.17
  4. Step 4: Simplify right side
    10,442.47x = 116,955,923.56
  5. Step 5: Solve for x
    x = 116,955,923.56/10,442.47
  6. Step 6: Final answer
    x = 11,200.03

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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.