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Finding the Fourth Proportional to 7,257.50, 10,886.10 and 2,331.20

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Solution

The fourth proportional to 7,257.50, 10,886.10 and 2,331.20 is: 3,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.50 : 10,886.10 = 2,331.20 : x
  2. Step 2: Convert to fraction form
    7,257.50/10,886.10 = 2,331.20/x
  3. Step 3: Cross multiply
    7,257.50x = 10,886.10 × 2,331.20
  4. Step 4: Simplify right side
    7,257.50x = 25,377,676.32
  5. Step 5: Solve for x
    x = 25,377,676.32/7,257.50
  6. Step 6: Final answer
    x = 3,496.75

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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.