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Finding the Fourth Proportional to 7,686.62, 11,524.66 and 2,756.15

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Solution

The fourth proportional to 7,686.62, 11,524.66 and 2,756.15 is: 4,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.62 : 11,524.66 = 2,756.15 : x
  2. Step 2: Convert to fraction form
    7,686.62/11,524.66 = 2,756.15/x
  3. Step 3: Cross multiply
    7,686.62x = 11,524.66 × 2,756.15
  4. Step 4: Simplify right side
    7,686.62x = 31,763,691.66
  5. Step 5: Solve for x
    x = 31,763,691.66/7,686.62
  6. Step 6: Final answer
    x = 4,132.34

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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.