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Finding the Fourth Proportional to 8,432.80, 12,641.10 and 6,557.65

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Solution

The fourth proportional to 8,432.80, 12,641.10 and 6,557.65 is: 9,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.80 : 12,641.10 = 6,557.65 : x
  2. Step 2: Convert to fraction form
    8,432.80/12,641.10 = 6,557.65/x
  3. Step 3: Cross multiply
    8,432.80x = 12,641.10 × 6,557.65
  4. Step 4: Simplify right side
    8,432.80x = 82,895,909.42
  5. Step 5: Solve for x
    x = 82,895,909.42/8,432.80
  6. Step 6: Final answer
    x = 9,830.18

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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.