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Finding the Fourth Proportional to 7,042.71, 9,718.96 and 4,524.84

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Solution

The fourth proportional to 7,042.71, 9,718.96 and 4,524.84 is: 6,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.71 : 9,718.96 = 4,524.84 : x
  2. Step 2: Convert to fraction form
    7,042.71/9,718.96 = 4,524.84/x
  3. Step 3: Cross multiply
    7,042.71x = 9,718.96 × 4,524.84
  4. Step 4: Simplify right side
    7,042.71x = 43,976,738.97
  5. Step 5: Solve for x
    x = 43,976,738.97/7,042.71
  6. Step 6: Final answer
    x = 6,244.29

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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.