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Finding the Fourth Proportional to 7,053.81, 9,734.97 and 3,910.61

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Solution

The fourth proportional to 7,053.81, 9,734.97 and 3,910.61 is: 5,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.81 : 9,734.97 = 3,910.61 : x
  2. Step 2: Convert to fraction form
    7,053.81/9,734.97 = 3,910.61/x
  3. Step 3: Cross multiply
    7,053.81x = 9,734.97 × 3,910.61
  4. Step 4: Simplify right side
    7,053.81x = 38,069,671.03
  5. Step 5: Solve for x
    x = 38,069,671.03/7,053.81
  6. Step 6: Final answer
    x = 5,397.04

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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.