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Finding the Fourth Proportional to 11,761.62, 17,642.46 and 4,744.68

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Solution

The fourth proportional to 11,761.62, 17,642.46 and 4,744.68 is: 7,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.62 : 17,642.46 = 4,744.68 : x
  2. Step 2: Convert to fraction form
    11,761.62/17,642.46 = 4,744.68/x
  3. Step 3: Cross multiply
    11,761.62x = 17,642.46 × 4,744.68
  4. Step 4: Simplify right side
    11,761.62x = 83,707,827.11
  5. Step 5: Solve for x
    x = 83,707,827.11/11,761.62
  6. Step 6: Final answer
    x = 7,117.03

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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.