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Finding the Fourth Proportional to 8,117.49, 12,172.53 and 7,862.34

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Solution

The fourth proportional to 8,117.49, 12,172.53 and 7,862.34 is: 11,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.49 : 12,172.53 = 7,862.34 : x
  2. Step 2: Convert to fraction form
    8,117.49/12,172.53 = 7,862.34/x
  3. Step 3: Cross multiply
    8,117.49x = 12,172.53 × 7,862.34
  4. Step 4: Simplify right side
    8,117.49x = 95,704,569.52
  5. Step 5: Solve for x
    x = 95,704,569.52/8,117.49
  6. Step 6: Final answer
    x = 11,789.92

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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.