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Finding the Fourth Proportional to 7,001.78, 9,659.05 and 4,481.87

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Solution

The fourth proportional to 7,001.78, 9,659.05 and 4,481.87 is: 6,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.78 : 9,659.05 = 4,481.87 : x
  2. Step 2: Convert to fraction form
    7,001.78/9,659.05 = 4,481.87/x
  3. Step 3: Cross multiply
    7,001.78x = 9,659.05 × 4,481.87
  4. Step 4: Simplify right side
    7,001.78x = 43,290,546.92
  5. Step 5: Solve for x
    x = 43,290,546.92/7,001.78
  6. Step 6: Final answer
    x = 6,182.80

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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.