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Finding the Fourth Proportional to 7,791.90, 11,689.50 and 2,527.20

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Solution

The fourth proportional to 7,791.90, 11,689.50 and 2,527.20 is: 3,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.90 : 11,689.50 = 2,527.20 : x
  2. Step 2: Convert to fraction form
    7,791.90/11,689.50 = 2,527.20/x
  3. Step 3: Cross multiply
    7,791.90x = 11,689.50 × 2,527.20
  4. Step 4: Simplify right side
    7,791.90x = 29,541,704.40
  5. Step 5: Solve for x
    x = 29,541,704.40/7,791.90
  6. Step 6: Final answer
    x = 3,791.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.