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Finding the Fourth Proportional to 11,662.13, 17,494.95 and 3,762

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Solution

The fourth proportional to 11,662.13, 17,494.95 and 3,762 is: 5,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.13 : 17,494.95 = 3,762 : x
  2. Step 2: Convert to fraction form
    11,662.13/17,494.95 = 3,762/x
  3. Step 3: Cross multiply
    11,662.13x = 17,494.95 × 3,762
  4. Step 4: Simplify right side
    11,662.13x = 65,816,001.90
  5. Step 5: Solve for x
    x = 65,816,001.90/11,662.13
  6. Step 6: Final answer
    x = 5,643.57

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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.