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Finding the Fourth Proportional to 7,382.08, 10,197.24 and 5,900.38

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Solution

The fourth proportional to 7,382.08, 10,197.24 and 5,900.38 is: 8,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.08 : 10,197.24 = 5,900.38 : x
  2. Step 2: Convert to fraction form
    7,382.08/10,197.24 = 5,900.38/x
  3. Step 3: Cross multiply
    7,382.08x = 10,197.24 × 5,900.38
  4. Step 4: Simplify right side
    7,382.08x = 60,167,590.95
  5. Step 5: Solve for x
    x = 60,167,590.95/7,382.08
  6. Step 6: Final answer
    x = 8,150.49

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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.