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Finding the Fourth Proportional to 12,947.92, 17,867.68 and 7,910.32

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Solution

The fourth proportional to 12,947.92, 17,867.68 and 7,910.32 is: 10,915.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.92 : 17,867.68 = 7,910.32 : x
  2. Step 2: Convert to fraction form
    12,947.92/17,867.68 = 7,910.32/x
  3. Step 3: Cross multiply
    12,947.92x = 17,867.68 × 7,910.32
  4. Step 4: Simplify right side
    12,947.92x = 141,339,066.46
  5. Step 5: Solve for x
    x = 141,339,066.46/12,947.92
  6. Step 6: Final answer
    x = 10,915.97

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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.