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Finding the Fourth Proportional to 11,549.52, 17,328 and 3,763.68

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Solution

The fourth proportional to 11,549.52, 17,328 and 3,763.68 is: 5,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.52 : 17,328 = 3,763.68 : x
  2. Step 2: Convert to fraction form
    11,549.52/17,328 = 3,763.68/x
  3. Step 3: Cross multiply
    11,549.52x = 17,328 × 3,763.68
  4. Step 4: Simplify right side
    11,549.52x = 65,217,047.04
  5. Step 5: Solve for x
    x = 65,217,047.04/11,549.52
  6. Step 6: Final answer
    x = 5,646.73

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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.