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Finding the Fourth Proportional to 7,642.47, 11,456.86 and 4,861.34

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Solution

The fourth proportional to 7,642.47, 11,456.86 and 4,861.34 is: 7,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.47 : 11,456.86 = 4,861.34 : x
  2. Step 2: Convert to fraction form
    7,642.47/11,456.86 = 4,861.34/x
  3. Step 3: Cross multiply
    7,642.47x = 11,456.86 × 4,861.34
  4. Step 4: Simplify right side
    7,642.47x = 55,695,691.79
  5. Step 5: Solve for x
    x = 55,695,691.79/7,642.47
  6. Step 6: Final answer
    x = 7,287.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.