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Finding the Fourth Proportional to 7,451.38, 10,287.42 and 4,935.65

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Solution

The fourth proportional to 7,451.38, 10,287.42 and 4,935.65 is: 6,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.38 : 10,287.42 = 4,935.65 : x
  2. Step 2: Convert to fraction form
    7,451.38/10,287.42 = 4,935.65/x
  3. Step 3: Cross multiply
    7,451.38x = 10,287.42 × 4,935.65
  4. Step 4: Simplify right side
    7,451.38x = 50,775,034.58
  5. Step 5: Solve for x
    x = 50,775,034.58/7,451.38
  6. Step 6: Final answer
    x = 6,814.18

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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.