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Finding the Fourth Proportional to 11,722, 17,582.09 and 5,148.24

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Solution

The fourth proportional to 11,722, 17,582.09 and 5,148.24 is: 7,721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722 : 17,582.09 = 5,148.24 : x
  2. Step 2: Convert to fraction form
    11,722/17,582.09 = 5,148.24/x
  3. Step 3: Cross multiply
    11,722x = 17,582.09 × 5,148.24
  4. Step 4: Simplify right side
    11,722x = 90,516,793.28
  5. Step 5: Solve for x
    x = 90,516,793.28/11,722
  6. Step 6: Final answer
    x = 7,721.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.