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Finding the Fourth Proportional to 11,751.16, 17,614.29 and 5,505.91

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Solution

The fourth proportional to 11,751.16, 17,614.29 and 5,505.91 is: 8,253.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.16 : 17,614.29 = 5,505.91 : x
  2. Step 2: Convert to fraction form
    11,751.16/17,614.29 = 5,505.91/x
  3. Step 3: Cross multiply
    11,751.16x = 17,614.29 × 5,505.91
  4. Step 4: Simplify right side
    11,751.16x = 96,982,695.45
  5. Step 5: Solve for x
    x = 96,982,695.45/11,751.16
  6. Step 6: Final answer
    x = 8,253.03

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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.