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Finding the Fourth Proportional to 10,140.27, 13,992.08 and 5,949.87

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Solution

The fourth proportional to 10,140.27, 13,992.08 and 5,949.87 is: 8,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.27 : 13,992.08 = 5,949.87 : x
  2. Step 2: Convert to fraction form
    10,140.27/13,992.08 = 5,949.87/x
  3. Step 3: Cross multiply
    10,140.27x = 13,992.08 × 5,949.87
  4. Step 4: Simplify right side
    10,140.27x = 83,251,027.28
  5. Step 5: Solve for x
    x = 83,251,027.28/10,140.27
  6. Step 6: Final answer
    x = 8,209.94

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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.