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Finding the Fourth Proportional to 7,862.30, 11,781.60 and 7,121.42

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Solution

The fourth proportional to 7,862.30, 11,781.60 and 7,121.42 is: 10,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.30 : 11,781.60 = 7,121.42 : x
  2. Step 2: Convert to fraction form
    7,862.30/11,781.60 = 7,121.42/x
  3. Step 3: Cross multiply
    7,862.30x = 11,781.60 × 7,121.42
  4. Step 4: Simplify right side
    7,862.30x = 83,901,721.87
  5. Step 5: Solve for x
    x = 83,901,721.87/7,862.30
  6. Step 6: Final answer
    x = 10,671.40

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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.