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Finding the Fourth Proportional to 8,248.32, 11,383.92 and 6,493.14

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Solution

The fourth proportional to 8,248.32, 11,383.92 and 6,493.14 is: 8,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.32 : 11,383.92 = 6,493.14 : x
  2. Step 2: Convert to fraction form
    8,248.32/11,383.92 = 6,493.14/x
  3. Step 3: Cross multiply
    8,248.32x = 11,383.92 × 6,493.14
  4. Step 4: Simplify right side
    8,248.32x = 73,917,386.31
  5. Step 5: Solve for x
    x = 73,917,386.31/8,248.32
  6. Step 6: Final answer
    x = 8,961.51

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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.