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Finding the Fourth Proportional to 7,732.50, 11,599.20 and 2,186.28

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Solution

The fourth proportional to 7,732.50, 11,599.20 and 2,186.28 is: 3,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.50 : 11,599.20 = 2,186.28 : x
  2. Step 2: Convert to fraction form
    7,732.50/11,599.20 = 2,186.28/x
  3. Step 3: Cross multiply
    7,732.50x = 11,599.20 × 2,186.28
  4. Step 4: Simplify right side
    7,732.50x = 25,359,098.98
  5. Step 5: Solve for x
    x = 25,359,098.98/7,732.50
  6. Step 6: Final answer
    x = 3,279.55

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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.