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Finding the Fourth Proportional to 7,695.33, 11,535.11 and 5,842.52

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Solution

The fourth proportional to 7,695.33, 11,535.11 and 5,842.52 is: 8,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.33 : 11,535.11 = 5,842.52 : x
  2. Step 2: Convert to fraction form
    7,695.33/11,535.11 = 5,842.52/x
  3. Step 3: Cross multiply
    7,695.33x = 11,535.11 × 5,842.52
  4. Step 4: Simplify right side
    7,695.33x = 67,394,110.50
  5. Step 5: Solve for x
    x = 67,394,110.50/7,695.33
  6. Step 6: Final answer
    x = 8,757.79

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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.