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Finding the Fourth Proportional to 8,468.06, 12,706.68 and 3,538.13

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Solution

The fourth proportional to 8,468.06, 12,706.68 and 3,538.13 is: 5,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.06 : 12,706.68 = 3,538.13 : x
  2. Step 2: Convert to fraction form
    8,468.06/12,706.68 = 3,538.13/x
  3. Step 3: Cross multiply
    8,468.06x = 12,706.68 × 3,538.13
  4. Step 4: Simplify right side
    8,468.06x = 44,957,885.71
  5. Step 5: Solve for x
    x = 44,957,885.71/8,468.06
  6. Step 6: Final answer
    x = 5,309.11

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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.