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Finding the Fourth Proportional to 7,842.43, 10,822.71 and 4,818.43

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Solution

The fourth proportional to 7,842.43, 10,822.71 and 4,818.43 is: 6,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.43 : 10,822.71 = 4,818.43 : x
  2. Step 2: Convert to fraction form
    7,842.43/10,822.71 = 4,818.43/x
  3. Step 3: Cross multiply
    7,842.43x = 10,822.71 × 4,818.43
  4. Step 4: Simplify right side
    7,842.43x = 52,148,470.55
  5. Step 5: Solve for x
    x = 52,148,470.55/7,842.43
  6. Step 6: Final answer
    x = 6,649.53

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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.