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Finding the Fourth Proportional to 7,332.82, 10,999.95 and 2,067.82

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Solution

The fourth proportional to 7,332.82, 10,999.95 and 2,067.82 is: 3,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.82 : 10,999.95 = 2,067.82 : x
  2. Step 2: Convert to fraction form
    7,332.82/10,999.95 = 2,067.82/x
  3. Step 3: Cross multiply
    7,332.82x = 10,999.95 × 2,067.82
  4. Step 4: Simplify right side
    7,332.82x = 22,745,916.61
  5. Step 5: Solve for x
    x = 22,745,916.61/7,332.82
  6. Step 6: Final answer
    x = 3,101.93

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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.