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Finding the Fourth Proportional to 7,213.50, 10,822.02 and 3,514.89

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Solution

The fourth proportional to 7,213.50, 10,822.02 and 3,514.89 is: 5,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.50 : 10,822.02 = 3,514.89 : x
  2. Step 2: Convert to fraction form
    7,213.50/10,822.02 = 3,514.89/x
  3. Step 3: Cross multiply
    7,213.50x = 10,822.02 × 3,514.89
  4. Step 4: Simplify right side
    7,213.50x = 38,038,209.88
  5. Step 5: Solve for x
    x = 38,038,209.88/7,213.50
  6. Step 6: Final answer
    x = 5,273.20

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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.