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Finding the Fourth Proportional to 7,522.32, 11,274 and 5,331.60

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Solution

The fourth proportional to 7,522.32, 11,274 and 5,331.60 is: 7,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.32 : 11,274 = 5,331.60 : x
  2. Step 2: Convert to fraction form
    7,522.32/11,274 = 5,331.60/x
  3. Step 3: Cross multiply
    7,522.32x = 11,274 × 5,331.60
  4. Step 4: Simplify right side
    7,522.32x = 60,108,458.40
  5. Step 5: Solve for x
    x = 60,108,458.40/7,522.32
  6. Step 6: Final answer
    x = 7,990.68

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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.