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Finding the Fourth Proportional to 10,438.26, 14,401.92 and 5,960.40

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Solution

The fourth proportional to 10,438.26, 14,401.92 and 5,960.40 is: 8,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.26 : 14,401.92 = 5,960.40 : x
  2. Step 2: Convert to fraction form
    10,438.26/14,401.92 = 5,960.40/x
  3. Step 3: Cross multiply
    10,438.26x = 14,401.92 × 5,960.40
  4. Step 4: Simplify right side
    10,438.26x = 85,841,203.97
  5. Step 5: Solve for x
    x = 85,841,203.97/10,438.26
  6. Step 6: Final answer
    x = 8,223.71

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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.