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Finding the Fourth Proportional to 7,166.62, 10,744.80 and 2,784.52

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Solution

The fourth proportional to 7,166.62, 10,744.80 and 2,784.52 is: 4,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.62 : 10,744.80 = 2,784.52 : x
  2. Step 2: Convert to fraction form
    7,166.62/10,744.80 = 2,784.52/x
  3. Step 3: Cross multiply
    7,166.62x = 10,744.80 × 2,784.52
  4. Step 4: Simplify right side
    7,166.62x = 29,919,110.50
  5. Step 5: Solve for x
    x = 29,919,110.50/7,166.62
  6. Step 6: Final answer
    x = 4,174.79

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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.