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Finding the Fourth Proportional to 8,434.65, 12,651.84 and 2,591.13

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Solution

The fourth proportional to 8,434.65, 12,651.84 and 2,591.13 is: 3,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.65 : 12,651.84 = 2,591.13 : x
  2. Step 2: Convert to fraction form
    8,434.65/12,651.84 = 2,591.13/x
  3. Step 3: Cross multiply
    8,434.65x = 12,651.84 × 2,591.13
  4. Step 4: Simplify right side
    8,434.65x = 32,782,562.18
  5. Step 5: Solve for x
    x = 32,782,562.18/8,434.65
  6. Step 6: Final answer
    x = 3,886.65

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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.