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Finding the Fourth Proportional to 10,993.88, 15,171.48 and 6,278.12

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Solution

The fourth proportional to 10,993.88, 15,171.48 and 6,278.12 is: 8,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.88 : 15,171.48 = 6,278.12 : x
  2. Step 2: Convert to fraction form
    10,993.88/15,171.48 = 6,278.12/x
  3. Step 3: Cross multiply
    10,993.88x = 15,171.48 × 6,278.12
  4. Step 4: Simplify right side
    10,993.88x = 95,248,372.02
  5. Step 5: Solve for x
    x = 95,248,372.02/10,993.88
  6. Step 6: Final answer
    x = 8,663.76

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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.