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Finding the Fourth Proportional to 7,618.83, 10,514.86 and 4,262.49

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Solution

The fourth proportional to 7,618.83, 10,514.86 and 4,262.49 is: 5,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.83 : 10,514.86 = 4,262.49 : x
  2. Step 2: Convert to fraction form
    7,618.83/10,514.86 = 4,262.49/x
  3. Step 3: Cross multiply
    7,618.83x = 10,514.86 × 4,262.49
  4. Step 4: Simplify right side
    7,618.83x = 44,819,514.38
  5. Step 5: Solve for x
    x = 44,819,514.38/7,618.83
  6. Step 6: Final answer
    x = 5,882.73

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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.