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Finding the Fourth Proportional to 7,799.38, 10,763.45 and 4,262.74

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Solution

The fourth proportional to 7,799.38, 10,763.45 and 4,262.74 is: 5,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.38 : 10,763.45 = 4,262.74 : x
  2. Step 2: Convert to fraction form
    7,799.38/10,763.45 = 4,262.74/x
  3. Step 3: Cross multiply
    7,799.38x = 10,763.45 × 4,262.74
  4. Step 4: Simplify right side
    7,799.38x = 45,881,788.85
  5. Step 5: Solve for x
    x = 45,881,788.85/7,799.38
  6. Step 6: Final answer
    x = 5,882.75

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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.