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Finding the Fourth Proportional to 7,083.68, 10,615.80 and 4,481.96

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Solution

The fourth proportional to 7,083.68, 10,615.80 and 4,481.96 is: 6,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.68 : 10,615.80 = 4,481.96 : x
  2. Step 2: Convert to fraction form
    7,083.68/10,615.80 = 4,481.96/x
  3. Step 3: Cross multiply
    7,083.68x = 10,615.80 × 4,481.96
  4. Step 4: Simplify right side
    7,083.68x = 47,579,590.97
  5. Step 5: Solve for x
    x = 47,579,590.97/7,083.68
  6. Step 6: Final answer
    x = 6,716.79

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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.