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Finding the Fourth Proportional to 8,568.24, 12,854.52 and 8,421.36

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Solution

The fourth proportional to 8,568.24, 12,854.52 and 8,421.36 is: 12,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.24 : 12,854.52 = 8,421.36 : x
  2. Step 2: Convert to fraction form
    8,568.24/12,854.52 = 8,421.36/x
  3. Step 3: Cross multiply
    8,568.24x = 12,854.52 × 8,421.36
  4. Step 4: Simplify right side
    8,568.24x = 108,252,540.55
  5. Step 5: Solve for x
    x = 108,252,540.55/8,568.24
  6. Step 6: Final answer
    x = 12,634.16

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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.