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Finding the Fourth Proportional to 7,329.39, 10,114.91 and 4,142.82

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Solution

The fourth proportional to 7,329.39, 10,114.91 and 4,142.82 is: 5,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.39 : 10,114.91 = 4,142.82 : x
  2. Step 2: Convert to fraction form
    7,329.39/10,114.91 = 4,142.82/x
  3. Step 3: Cross multiply
    7,329.39x = 10,114.91 × 4,142.82
  4. Step 4: Simplify right side
    7,329.39x = 41,904,251.45
  5. Step 5: Solve for x
    x = 41,904,251.45/7,329.39
  6. Step 6: Final answer
    x = 5,717.29

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