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Finding the Fourth Proportional to 8,569.40, 12,857.74 and 5,452.92

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Solution

The fourth proportional to 8,569.40, 12,857.74 and 5,452.92 is: 8,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.40 : 12,857.74 = 5,452.92 : x
  2. Step 2: Convert to fraction form
    8,569.40/12,857.74 = 5,452.92/x
  3. Step 3: Cross multiply
    8,569.40x = 12,857.74 × 5,452.92
  4. Step 4: Simplify right side
    8,569.40x = 70,112,213.97
  5. Step 5: Solve for x
    x = 70,112,213.97/8,569.40
  6. Step 6: Final answer
    x = 8,181.70

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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.