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Finding the Fourth Proportional to 10,542.33, 15,801.31 and 3,964.32

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Solution

The fourth proportional to 10,542.33, 15,801.31 and 3,964.32 is: 5,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.33 : 15,801.31 = 3,964.32 : x
  2. Step 2: Convert to fraction form
    10,542.33/15,801.31 = 3,964.32/x
  3. Step 3: Cross multiply
    10,542.33x = 15,801.31 × 3,964.32
  4. Step 4: Simplify right side
    10,542.33x = 62,641,449.26
  5. Step 5: Solve for x
    x = 62,641,449.26/10,542.33
  6. Step 6: Final answer
    x = 5,941.90

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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.