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Finding the Fourth Proportional to 6,791.16, 10,188.22 and 2,842.59

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Solution

The fourth proportional to 6,791.16, 10,188.22 and 2,842.59 is: 4,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.16 : 10,188.22 = 2,842.59 : x
  2. Step 2: Convert to fraction form
    6,791.16/10,188.22 = 2,842.59/x
  3. Step 3: Cross multiply
    6,791.16x = 10,188.22 × 2,842.59
  4. Step 4: Simplify right side
    6,791.16x = 28,960,932.29
  5. Step 5: Solve for x
    x = 28,960,932.29/6,791.16
  6. Step 6: Final answer
    x = 4,264.50

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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.