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Finding the Fourth Proportional to 7,238.13, 10,857.21 and 1,766.13

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Solution

The fourth proportional to 7,238.13, 10,857.21 and 1,766.13 is: 2,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.13 : 10,857.21 = 1,766.13 : x
  2. Step 2: Convert to fraction form
    7,238.13/10,857.21 = 1,766.13/x
  3. Step 3: Cross multiply
    7,238.13x = 10,857.21 × 1,766.13
  4. Step 4: Simplify right side
    7,238.13x = 19,175,244.30
  5. Step 5: Solve for x
    x = 19,175,244.30/7,238.13
  6. Step 6: Final answer
    x = 2,649.20

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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.