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Finding the Fourth Proportional to 10,092.64, 13,927.92 and 5,616.48

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Solution

The fourth proportional to 10,092.64, 13,927.92 and 5,616.48 is: 7,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.64 : 13,927.92 = 5,616.48 : x
  2. Step 2: Convert to fraction form
    10,092.64/13,927.92 = 5,616.48/x
  3. Step 3: Cross multiply
    10,092.64x = 13,927.92 × 5,616.48
  4. Step 4: Simplify right side
    10,092.64x = 78,225,884.12
  5. Step 5: Solve for x
    x = 78,225,884.12/10,092.64
  6. Step 6: Final answer
    x = 7,750.79

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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.