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Finding the Fourth Proportional to 7,197.50, 10,793.16 and 2,516.10

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Solution

The fourth proportional to 7,197.50, 10,793.16 and 2,516.10 is: 3,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.50 : 10,793.16 = 2,516.10 : x
  2. Step 2: Convert to fraction form
    7,197.50/10,793.16 = 2,516.10/x
  3. Step 3: Cross multiply
    7,197.50x = 10,793.16 × 2,516.10
  4. Step 4: Simplify right side
    7,197.50x = 27,156,669.88
  5. Step 5: Solve for x
    x = 27,156,669.88/7,197.50
  6. Step 6: Final answer
    x = 3,773.07

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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.