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Finding the Fourth Proportional to 7,791.96, 11,687.52 and 2,527.23

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Solution

The fourth proportional to 7,791.96, 11,687.52 and 2,527.23 is: 3,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.96 : 11,687.52 = 2,527.23 : x
  2. Step 2: Convert to fraction form
    7,791.96/11,687.52 = 2,527.23/x
  3. Step 3: Cross multiply
    7,791.96x = 11,687.52 × 2,527.23
  4. Step 4: Simplify right side
    7,791.96x = 29,537,051.17
  5. Step 5: Solve for x
    x = 29,537,051.17/7,791.96
  6. Step 6: Final answer
    x = 3,790.71

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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.