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Finding the Fourth Proportional to 7,757.92, 10,702.76 and 5,401.43

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Solution

The fourth proportional to 7,757.92, 10,702.76 and 5,401.43 is: 7,451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.92 : 10,702.76 = 5,401.43 : x
  2. Step 2: Convert to fraction form
    7,757.92/10,702.76 = 5,401.43/x
  3. Step 3: Cross multiply
    7,757.92x = 10,702.76 × 5,401.43
  4. Step 4: Simplify right side
    7,757.92x = 57,810,128.43
  5. Step 5: Solve for x
    x = 57,810,128.43/7,757.92
  6. Step 6: Final answer
    x = 7,451.76

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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.