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Finding the Fourth Proportional to 8,089.34, 12,124.17 and 4,382.78

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Solution

The fourth proportional to 8,089.34, 12,124.17 and 4,382.78 is: 6,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.34 : 12,124.17 = 4,382.78 : x
  2. Step 2: Convert to fraction form
    8,089.34/12,124.17 = 4,382.78/x
  3. Step 3: Cross multiply
    8,089.34x = 12,124.17 × 4,382.78
  4. Step 4: Simplify right side
    8,089.34x = 53,137,569.79
  5. Step 5: Solve for x
    x = 53,137,569.79/8,089.34
  6. Step 6: Final answer
    x = 6,568.84

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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.