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Finding the Fourth Proportional to 8,638.16, 12,957.72 and 2,482

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Solution

The fourth proportional to 8,638.16, 12,957.72 and 2,482 is: 3,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.16 : 12,957.72 = 2,482 : x
  2. Step 2: Convert to fraction form
    8,638.16/12,957.72 = 2,482/x
  3. Step 3: Cross multiply
    8,638.16x = 12,957.72 × 2,482
  4. Step 4: Simplify right side
    8,638.16x = 32,161,061.04
  5. Step 5: Solve for x
    x = 32,161,061.04/8,638.16
  6. Step 6: Final answer
    x = 3,723.14

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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.