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Finding the Fourth Proportional to 7,690.74, 11,536.17 and 2,760.43

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Solution

The fourth proportional to 7,690.74, 11,536.17 and 2,760.43 is: 4,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.74 : 11,536.17 = 2,760.43 : x
  2. Step 2: Convert to fraction form
    7,690.74/11,536.17 = 2,760.43/x
  3. Step 3: Cross multiply
    7,690.74x = 11,536.17 × 2,760.43
  4. Step 4: Simplify right side
    7,690.74x = 31,844,759.16
  5. Step 5: Solve for x
    x = 31,844,759.16/7,690.74
  6. Step 6: Final answer
    x = 4,140.66

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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.