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Finding the Fourth Proportional to 7,842.68, 11,761.53 and 2,576.47

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Solution

The fourth proportional to 7,842.68, 11,761.53 and 2,576.47 is: 3,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.68 : 11,761.53 = 2,576.47 : x
  2. Step 2: Convert to fraction form
    7,842.68/11,761.53 = 2,576.47/x
  3. Step 3: Cross multiply
    7,842.68x = 11,761.53 × 2,576.47
  4. Step 4: Simplify right side
    7,842.68x = 30,303,235.97
  5. Step 5: Solve for x
    x = 30,303,235.97/7,842.68
  6. Step 6: Final answer
    x = 3,863.89

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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.