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Finding the Fourth Proportional to 7,542.69, 11,311.82 and 2,859.32

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Solution

The fourth proportional to 7,542.69, 11,311.82 and 2,859.32 is: 4,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.69 : 11,311.82 = 2,859.32 : x
  2. Step 2: Convert to fraction form
    7,542.69/11,311.82 = 2,859.32/x
  3. Step 3: Cross multiply
    7,542.69x = 11,311.82 × 2,859.32
  4. Step 4: Simplify right side
    7,542.69x = 32,344,042.31
  5. Step 5: Solve for x
    x = 32,344,042.31/7,542.69
  6. Step 6: Final answer
    x = 4,288.13

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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.