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Finding the Fourth Proportional to 8,032.57, 12,041.92 and 3,866.84

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Solution

The fourth proportional to 8,032.57, 12,041.92 and 3,866.84 is: 5,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.57 : 12,041.92 = 3,866.84 : x
  2. Step 2: Convert to fraction form
    8,032.57/12,041.92 = 3,866.84/x
  3. Step 3: Cross multiply
    8,032.57x = 12,041.92 × 3,866.84
  4. Step 4: Simplify right side
    8,032.57x = 46,564,177.93
  5. Step 5: Solve for x
    x = 46,564,177.93/8,032.57
  6. Step 6: Final answer
    x = 5,796.92

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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.