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Finding the Fourth Proportional to 10,092.78, 13,928.06 and 5,616.56

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Solution

The fourth proportional to 10,092.78, 13,928.06 and 5,616.56 is: 7,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.78 : 13,928.06 = 5,616.56 : x
  2. Step 2: Convert to fraction form
    10,092.78/13,928.06 = 5,616.56/x
  3. Step 3: Cross multiply
    10,092.78x = 13,928.06 × 5,616.56
  4. Step 4: Simplify right side
    10,092.78x = 78,227,833.54
  5. Step 5: Solve for x
    x = 78,227,833.54/10,092.78
  6. Step 6: Final answer
    x = 7,750.87

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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.