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Finding the Fourth Proportional to 10,117.77, 15,181.03 and 5,432.31

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Solution

The fourth proportional to 10,117.77, 15,181.03 and 5,432.31 is: 8,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.77 : 15,181.03 = 5,432.31 : x
  2. Step 2: Convert to fraction form
    10,117.77/15,181.03 = 5,432.31/x
  3. Step 3: Cross multiply
    10,117.77x = 15,181.03 × 5,432.31
  4. Step 4: Simplify right side
    10,117.77x = 82,468,061.08
  5. Step 5: Solve for x
    x = 82,468,061.08/10,117.77
  6. Step 6: Final answer
    x = 8,150.81

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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.