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Finding the Fourth Proportional to 7,842.72, 10,822.92 and 4,306

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Solution

The fourth proportional to 7,842.72, 10,822.92 and 4,306 is: 5,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.72 : 10,822.92 = 4,306 : x
  2. Step 2: Convert to fraction form
    7,842.72/10,822.92 = 4,306/x
  3. Step 3: Cross multiply
    7,842.72x = 10,822.92 × 4,306
  4. Step 4: Simplify right side
    7,842.72x = 46,603,493.52
  5. Step 5: Solve for x
    x = 46,603,493.52/7,842.72
  6. Step 6: Final answer
    x = 5,942.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.