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Finding the Fourth Proportional to 8,638.61, 12,957.89 and 3,448.13

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Solution

The fourth proportional to 8,638.61, 12,957.89 and 3,448.13 is: 5,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.61 : 12,957.89 = 3,448.13 : x
  2. Step 2: Convert to fraction form
    8,638.61/12,957.89 = 3,448.13/x
  3. Step 3: Cross multiply
    8,638.61x = 12,957.89 × 3,448.13
  4. Step 4: Simplify right side
    8,638.61x = 44,680,407.22
  5. Step 5: Solve for x
    x = 44,680,407.22/8,638.61
  6. Step 6: Final answer
    x = 5,172.18

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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.