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Finding the Fourth Proportional to 7,291.43, 10,934.43 and 5,734.47

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Solution

The fourth proportional to 7,291.43, 10,934.43 and 5,734.47 is: 8,599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.43 : 10,934.43 = 5,734.47 : x
  2. Step 2: Convert to fraction form
    7,291.43/10,934.43 = 5,734.47/x
  3. Step 3: Cross multiply
    7,291.43x = 10,934.43 × 5,734.47
  4. Step 4: Simplify right side
    7,291.43x = 62,703,160.80
  5. Step 5: Solve for x
    x = 62,703,160.80/7,291.43
  6. Step 6: Final answer
    x = 8,599.58

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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.