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Finding the Fourth Proportional to 7,390.38, 10,198.75 and 4,033.27

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Solution

The fourth proportional to 7,390.38, 10,198.75 and 4,033.27 is: 5,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.38 : 10,198.75 = 4,033.27 : x
  2. Step 2: Convert to fraction form
    7,390.38/10,198.75 = 4,033.27/x
  3. Step 3: Cross multiply
    7,390.38x = 10,198.75 × 4,033.27
  4. Step 4: Simplify right side
    7,390.38x = 41,134,312.41
  5. Step 5: Solve for x
    x = 41,134,312.41/7,390.38
  6. Step 6: Final answer
    x = 5,565.93

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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.