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Finding the Fourth Proportional to 11,753.40, 17,614.08 and 5,914.02

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Solution

The fourth proportional to 11,753.40, 17,614.08 and 5,914.02 is: 8,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.40 : 17,614.08 = 5,914.02 : x
  2. Step 2: Convert to fraction form
    11,753.40/17,614.08 = 5,914.02/x
  3. Step 3: Cross multiply
    11,753.40x = 17,614.08 × 5,914.02
  4. Step 4: Simplify right side
    11,753.40x = 104,170,021.40
  5. Step 5: Solve for x
    x = 104,170,021.40/11,753.40
  6. Step 6: Final answer
    x = 8,862.97

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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.