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Finding the Fourth Proportional to 8,714.33, 12,016.92 and 7,459.54

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Solution

The fourth proportional to 8,714.33, 12,016.92 and 7,459.54 is: 10,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.33 : 12,016.92 = 7,459.54 : x
  2. Step 2: Convert to fraction form
    8,714.33/12,016.92 = 7,459.54/x
  3. Step 3: Cross multiply
    8,714.33x = 12,016.92 × 7,459.54
  4. Step 4: Simplify right side
    8,714.33x = 89,640,693.35
  5. Step 5: Solve for x
    x = 89,640,693.35/8,714.33
  6. Step 6: Final answer
    x = 10,286.59

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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.