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Finding the Fourth Proportional to 10,223.62, 15,332.16 and 3,296.50

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Solution

The fourth proportional to 10,223.62, 15,332.16 and 3,296.50 is: 4,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.62 : 15,332.16 = 3,296.50 : x
  2. Step 2: Convert to fraction form
    10,223.62/15,332.16 = 3,296.50/x
  3. Step 3: Cross multiply
    10,223.62x = 15,332.16 × 3,296.50
  4. Step 4: Simplify right side
    10,223.62x = 50,542,465.44
  5. Step 5: Solve for x
    x = 50,542,465.44/10,223.62
  6. Step 6: Final answer
    x = 4,943.70

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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.