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Finding the Fourth Proportional to 7,176.34, 10,764.78 and 2,559.34

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Solution

The fourth proportional to 7,176.34, 10,764.78 and 2,559.34 is: 3,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.34 : 10,764.78 = 2,559.34 : x
  2. Step 2: Convert to fraction form
    7,176.34/10,764.78 = 2,559.34/x
  3. Step 3: Cross multiply
    7,176.34x = 10,764.78 × 2,559.34
  4. Step 4: Simplify right side
    7,176.34x = 27,550,732.05
  5. Step 5: Solve for x
    x = 27,550,732.05/7,176.34
  6. Step 6: Final answer
    x = 3,839.11

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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.