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Finding the Fourth Proportional to 7,279.83, 10,922.25 and 3,332.75

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Solution

The fourth proportional to 7,279.83, 10,922.25 and 3,332.75 is: 5,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279.83 : 10,922.25 = 3,332.75 : x
  2. Step 2: Convert to fraction form
    7,279.83/10,922.25 = 3,332.75/x
  3. Step 3: Cross multiply
    7,279.83x = 10,922.25 × 3,332.75
  4. Step 4: Simplify right side
    7,279.83x = 36,401,098.55
  5. Step 5: Solve for x
    x = 36,401,098.55/7,279.83
  6. Step 6: Final answer
    x = 5,000.27

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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.