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Finding the Fourth Proportional to 7,862.57, 11,781.55 and 3,701.80

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Solution

The fourth proportional to 7,862.57, 11,781.55 and 3,701.80 is: 5,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.57 : 11,781.55 = 3,701.80 : x
  2. Step 2: Convert to fraction form
    7,862.57/11,781.55 = 3,701.80/x
  3. Step 3: Cross multiply
    7,862.57x = 11,781.55 × 3,701.80
  4. Step 4: Simplify right side
    7,862.57x = 43,612,961.14
  5. Step 5: Solve for x
    x = 43,612,961.14/7,862.57
  6. Step 6: Final answer
    x = 5,546.91

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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.