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Finding the Fourth Proportional to 10,478.31, 15,703.16 and 5,791.38

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Solution

The fourth proportional to 10,478.31, 15,703.16 and 5,791.38 is: 8,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.31 : 15,703.16 = 5,791.38 : x
  2. Step 2: Convert to fraction form
    10,478.31/15,703.16 = 5,791.38/x
  3. Step 3: Cross multiply
    10,478.31x = 15,703.16 × 5,791.38
  4. Step 4: Simplify right side
    10,478.31x = 90,942,937.80
  5. Step 5: Solve for x
    x = 90,942,937.80/10,478.31
  6. Step 6: Final answer
    x = 8,679.16

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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.