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Finding the Fourth Proportional to 10,993.86, 15,171.42 and 6,278.10

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Solution

The fourth proportional to 10,993.86, 15,171.42 and 6,278.10 is: 8,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.86 : 15,171.42 = 6,278.10 : x
  2. Step 2: Convert to fraction form
    10,993.86/15,171.42 = 6,278.10/x
  3. Step 3: Cross multiply
    10,993.86x = 15,171.42 × 6,278.10
  4. Step 4: Simplify right side
    10,993.86x = 95,247,691.90
  5. Step 5: Solve for x
    x = 95,247,691.90/10,993.86
  6. Step 6: Final answer
    x = 8,663.72

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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.