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Finding the Fourth Proportional to 8,451.52, 12,677.16 and 2,829.57

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Solution

The fourth proportional to 8,451.52, 12,677.16 and 2,829.57 is: 4,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.52 : 12,677.16 = 2,829.57 : x
  2. Step 2: Convert to fraction form
    8,451.52/12,677.16 = 2,829.57/x
  3. Step 3: Cross multiply
    8,451.52x = 12,677.16 × 2,829.57
  4. Step 4: Simplify right side
    8,451.52x = 35,870,858.78
  5. Step 5: Solve for x
    x = 35,870,858.78/8,451.52
  6. Step 6: Final answer
    x = 4,244.31

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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.