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Finding the Fourth Proportional to 10,139.72, 13,992.88 and 5,663.87

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Solution

The fourth proportional to 10,139.72, 13,992.88 and 5,663.87 is: 7,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.72 : 13,992.88 = 5,663.87 : x
  2. Step 2: Convert to fraction form
    10,139.72/13,992.88 = 5,663.87/x
  3. Step 3: Cross multiply
    10,139.72x = 13,992.88 × 5,663.87
  4. Step 4: Simplify right side
    10,139.72x = 79,253,853.25
  5. Step 5: Solve for x
    x = 79,253,853.25/10,139.72
  6. Step 6: Final answer
    x = 7,816.18

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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.