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Finding the Fourth Proportional to 8,569.73, 12,854.97 and 3,023.12

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Solution

The fourth proportional to 8,569.73, 12,854.97 and 3,023.12 is: 4,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.73 : 12,854.97 = 3,023.12 : x
  2. Step 2: Convert to fraction form
    8,569.73/12,854.97 = 3,023.12/x
  3. Step 3: Cross multiply
    8,569.73x = 12,854.97 × 3,023.12
  4. Step 4: Simplify right side
    8,569.73x = 38,862,052.63
  5. Step 5: Solve for x
    x = 38,862,052.63/8,569.73
  6. Step 6: Final answer
    x = 4,534.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.