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Finding the Fourth Proportional to 10,373.86, 15,565.36 and 5,442.31

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Solution

The fourth proportional to 10,373.86, 15,565.36 and 5,442.31 is: 8,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.86 : 15,565.36 = 5,442.31 : x
  2. Step 2: Convert to fraction form
    10,373.86/15,565.36 = 5,442.31/x
  3. Step 3: Cross multiply
    10,373.86x = 15,565.36 × 5,442.31
  4. Step 4: Simplify right side
    10,373.86x = 84,711,514.38
  5. Step 5: Solve for x
    x = 84,711,514.38/10,373.86
  6. Step 6: Final answer
    x = 8,165.86

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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.