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Finding the Fourth Proportional to 7,332, 10,997.68 and 3,632.80

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Solution

The fourth proportional to 7,332, 10,997.68 and 3,632.80 is: 5,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332 : 10,997.68 = 3,632.80 : x
  2. Step 2: Convert to fraction form
    7,332/10,997.68 = 3,632.80/x
  3. Step 3: Cross multiply
    7,332x = 10,997.68 × 3,632.80
  4. Step 4: Simplify right side
    7,332x = 39,952,371.90
  5. Step 5: Solve for x
    x = 39,952,371.90/7,332
  6. Step 6: Final answer
    x = 5,449.04

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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.