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Finding the Fourth Proportional to 8,585.52, 12,881.20 and 5,419.28

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Solution

The fourth proportional to 8,585.52, 12,881.20 and 5,419.28 is: 8,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.52 : 12,881.20 = 5,419.28 : x
  2. Step 2: Convert to fraction form
    8,585.52/12,881.20 = 5,419.28/x
  3. Step 3: Cross multiply
    8,585.52x = 12,881.20 × 5,419.28
  4. Step 4: Simplify right side
    8,585.52x = 69,806,829.54
  5. Step 5: Solve for x
    x = 69,806,829.54/8,585.52
  6. Step 6: Final answer
    x = 8,130.76

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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.