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Finding the Fourth Proportional to 10,123.20, 13,960.92 and 6,346.78

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Solution

The fourth proportional to 10,123.20, 13,960.92 and 6,346.78 is: 8,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.20 : 13,960.92 = 6,346.78 : x
  2. Step 2: Convert to fraction form
    10,123.20/13,960.92 = 6,346.78/x
  3. Step 3: Cross multiply
    10,123.20x = 13,960.92 × 6,346.78
  4. Step 4: Simplify right side
    10,123.20x = 88,606,829.13
  5. Step 5: Solve for x
    x = 88,606,829.13/10,123.20
  6. Step 6: Final answer
    x = 8,752.85

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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.