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Finding the Fourth Proportional to 7,523.61, 11,287.22 and 2,329.48

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Solution

The fourth proportional to 7,523.61, 11,287.22 and 2,329.48 is: 3,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.61 : 11,287.22 = 2,329.48 : x
  2. Step 2: Convert to fraction form
    7,523.61/11,287.22 = 2,329.48/x
  3. Step 3: Cross multiply
    7,523.61x = 11,287.22 × 2,329.48
  4. Step 4: Simplify right side
    7,523.61x = 26,293,353.25
  5. Step 5: Solve for x
    x = 26,293,353.25/7,523.61
  6. Step 6: Final answer
    x = 3,494.78

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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.