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Finding the Fourth Proportional to 8,540.32, 12,807.42 and 2,992.24

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Solution

The fourth proportional to 8,540.32, 12,807.42 and 2,992.24 is: 4,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.32 : 12,807.42 = 2,992.24 : x
  2. Step 2: Convert to fraction form
    8,540.32/12,807.42 = 2,992.24/x
  3. Step 3: Cross multiply
    8,540.32x = 12,807.42 × 2,992.24
  4. Step 4: Simplify right side
    8,540.32x = 38,322,874.42
  5. Step 5: Solve for x
    x = 38,322,874.42/8,540.32
  6. Step 6: Final answer
    x = 4,487.29

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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.