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Finding the Fourth Proportional to 8,468.28, 12,706.06 and 4,568.12

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Solution

The fourth proportional to 8,468.28, 12,706.06 and 4,568.12 is: 6,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.28 : 12,706.06 = 4,568.12 : x
  2. Step 2: Convert to fraction form
    8,468.28/12,706.06 = 4,568.12/x
  3. Step 3: Cross multiply
    8,468.28x = 12,706.06 × 4,568.12
  4. Step 4: Simplify right side
    8,468.28x = 58,042,806.81
  5. Step 5: Solve for x
    x = 58,042,806.81/8,468.28
  6. Step 6: Final answer
    x = 6,854.14

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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.