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Finding the Fourth Proportional to 8,374.41, 12,565.67 and 5,924.97

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Solution

The fourth proportional to 8,374.41, 12,565.67 and 5,924.97 is: 8,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.41 : 12,565.67 = 5,924.97 : x
  2. Step 2: Convert to fraction form
    8,374.41/12,565.67 = 5,924.97/x
  3. Step 3: Cross multiply
    8,374.41x = 12,565.67 × 5,924.97
  4. Step 4: Simplify right side
    8,374.41x = 74,451,188.16
  5. Step 5: Solve for x
    x = 74,451,188.16/8,374.41
  6. Step 6: Final answer
    x = 8,890.32

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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.