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Finding the Fourth Proportional to 7,691.65, 11,537.01 and 2,759.96

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Solution

The fourth proportional to 7,691.65, 11,537.01 and 2,759.96 is: 4,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.65 : 11,537.01 = 2,759.96 : x
  2. Step 2: Convert to fraction form
    7,691.65/11,537.01 = 2,759.96/x
  3. Step 3: Cross multiply
    7,691.65x = 11,537.01 × 2,759.96
  4. Step 4: Simplify right side
    7,691.65x = 31,841,686.12
  5. Step 5: Solve for x
    x = 31,841,686.12/7,691.65
  6. Step 6: Final answer
    x = 4,139.77

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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.