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Finding the Fourth Proportional to 7,276.10, 10,915.16 and 2,832.90

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Solution

The fourth proportional to 7,276.10, 10,915.16 and 2,832.90 is: 4,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276.10 : 10,915.16 = 2,832.90 : x
  2. Step 2: Convert to fraction form
    7,276.10/10,915.16 = 2,832.90/x
  3. Step 3: Cross multiply
    7,276.10x = 10,915.16 × 2,832.90
  4. Step 4: Simplify right side
    7,276.10x = 30,921,556.76
  5. Step 5: Solve for x
    x = 30,921,556.76/7,276.10
  6. Step 6: Final answer
    x = 4,249.74

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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.