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Finding the Fourth Proportional to 11,422.78, 15,768.28 and 6,947.96

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Solution

The fourth proportional to 11,422.78, 15,768.28 and 6,947.96 is: 9,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.78 : 15,768.28 = 6,947.96 : x
  2. Step 2: Convert to fraction form
    11,422.78/15,768.28 = 6,947.96/x
  3. Step 3: Cross multiply
    11,422.78x = 15,768.28 × 6,947.96
  4. Step 4: Simplify right side
    11,422.78x = 109,557,378.71
  5. Step 5: Solve for x
    x = 109,557,378.71/11,422.78
  6. Step 6: Final answer
    x = 9,591.13

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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.