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Finding the Fourth Proportional to 11,278.92, 15,553.44 and 6,801.78

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Solution

The fourth proportional to 11,278.92, 15,553.44 and 6,801.78 is: 9,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.92 : 15,553.44 = 6,801.78 : x
  2. Step 2: Convert to fraction form
    11,278.92/15,553.44 = 6,801.78/x
  3. Step 3: Cross multiply
    11,278.92x = 15,553.44 × 6,801.78
  4. Step 4: Simplify right side
    11,278.92x = 105,791,077.12
  5. Step 5: Solve for x
    x = 105,791,077.12/11,278.92
  6. Step 6: Final answer
    x = 9,379.54

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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.