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Finding the Fourth Proportional to 7,488.38, 10,332.39 and 4,302.65

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Solution

The fourth proportional to 7,488.38, 10,332.39 and 4,302.65 is: 5,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488.38 : 10,332.39 = 4,302.65 : x
  2. Step 2: Convert to fraction form
    7,488.38/10,332.39 = 4,302.65/x
  3. Step 3: Cross multiply
    7,488.38x = 10,332.39 × 4,302.65
  4. Step 4: Simplify right side
    7,488.38x = 44,456,657.83
  5. Step 5: Solve for x
    x = 44,456,657.83/7,488.38
  6. Step 6: Final answer
    x = 5,936.75

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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.