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Finding the Fourth Proportional to 7,176.76, 10,765.54 and 2,559.76

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Solution

The fourth proportional to 7,176.76, 10,765.54 and 2,559.76 is: 3,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.76 : 10,765.54 = 2,559.76 : x
  2. Step 2: Convert to fraction form
    7,176.76/10,765.54 = 2,559.76/x
  3. Step 3: Cross multiply
    7,176.76x = 10,765.54 × 2,559.76
  4. Step 4: Simplify right side
    7,176.76x = 27,557,198.67
  5. Step 5: Solve for x
    x = 27,557,198.67/7,176.76
  6. Step 6: Final answer
    x = 3,839.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.