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Finding the Fourth Proportional to 7,209.50, 10,814.28 and 2,015.54

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Solution

The fourth proportional to 7,209.50, 10,814.28 and 2,015.54 is: 3,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.50 : 10,814.28 = 2,015.54 : x
  2. Step 2: Convert to fraction form
    7,209.50/10,814.28 = 2,015.54/x
  3. Step 3: Cross multiply
    7,209.50x = 10,814.28 × 2,015.54
  4. Step 4: Simplify right side
    7,209.50x = 21,796,613.91
  5. Step 5: Solve for x
    x = 21,796,613.91/7,209.50
  6. Step 6: Final answer
    x = 3,023.32

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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.