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Finding the Fourth Proportional to 7,862.72, 10,851.31 and 5,869.81

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Solution

The fourth proportional to 7,862.72, 10,851.31 and 5,869.81 is: 8,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.72 : 10,851.31 = 5,869.81 : x
  2. Step 2: Convert to fraction form
    7,862.72/10,851.31 = 5,869.81/x
  3. Step 3: Cross multiply
    7,862.72x = 10,851.31 × 5,869.81
  4. Step 4: Simplify right side
    7,862.72x = 63,695,115.83
  5. Step 5: Solve for x
    x = 63,695,115.83/7,862.72
  6. Step 6: Final answer
    x = 8,100.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.