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Finding the Fourth Proportional to 7,658.80, 11,488.16 and 2,728.62

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Solution

The fourth proportional to 7,658.80, 11,488.16 and 2,728.62 is: 4,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.80 : 11,488.16 = 2,728.62 : x
  2. Step 2: Convert to fraction form
    7,658.80/11,488.16 = 2,728.62/x
  3. Step 3: Cross multiply
    7,658.80x = 11,488.16 × 2,728.62
  4. Step 4: Simplify right side
    7,658.80x = 31,346,829.96
  5. Step 5: Solve for x
    x = 31,346,829.96/7,658.80
  6. Step 6: Final answer
    x = 4,092.92

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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.