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Finding the Fourth Proportional to 7,456.72, 10,291.08 and 4,663.12

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Solution

The fourth proportional to 7,456.72, 10,291.08 and 4,663.12 is: 6,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.72 : 10,291.08 = 4,663.12 : x
  2. Step 2: Convert to fraction form
    7,456.72/10,291.08 = 4,663.12/x
  3. Step 3: Cross multiply
    7,456.72x = 10,291.08 × 4,663.12
  4. Step 4: Simplify right side
    7,456.72x = 47,988,540.97
  5. Step 5: Solve for x
    x = 47,988,540.97/7,456.72
  6. Step 6: Final answer
    x = 6,435.61

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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.