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Finding the Fourth Proportional to 7,276.50, 10,915.29 and 2,082.78

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Solution

The fourth proportional to 7,276.50, 10,915.29 and 2,082.78 is: 3,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276.50 : 10,915.29 = 2,082.78 : x
  2. Step 2: Convert to fraction form
    7,276.50/10,915.29 = 2,082.78/x
  3. Step 3: Cross multiply
    7,276.50x = 10,915.29 × 2,082.78
  4. Step 4: Simplify right side
    7,276.50x = 22,734,147.71
  5. Step 5: Solve for x
    x = 22,734,147.71/7,276.50
  6. Step 6: Final answer
    x = 3,124.32

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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.