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Finding the Fourth Proportional to 7,658.25, 11,488.97 and 2,727.87

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Solution

The fourth proportional to 7,658.25, 11,488.97 and 2,727.87 is: 4,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.25 : 11,488.97 = 2,727.87 : x
  2. Step 2: Convert to fraction form
    7,658.25/11,488.97 = 2,727.87/x
  3. Step 3: Cross multiply
    7,658.25x = 11,488.97 × 2,727.87
  4. Step 4: Simplify right side
    7,658.25x = 31,340,416.59
  5. Step 5: Solve for x
    x = 31,340,416.59/7,658.25
  6. Step 6: Final answer
    x = 4,092.37

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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.