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Finding the Fourth Proportional to 7,201.69, 10,796.18 and 2,816.08

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Solution

The fourth proportional to 7,201.69, 10,796.18 and 2,816.08 is: 4,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.69 : 10,796.18 = 2,816.08 : x
  2. Step 2: Convert to fraction form
    7,201.69/10,796.18 = 2,816.08/x
  3. Step 3: Cross multiply
    7,201.69x = 10,796.18 × 2,816.08
  4. Step 4: Simplify right side
    7,201.69x = 30,402,865.50
  5. Step 5: Solve for x
    x = 30,402,865.50/7,201.69
  6. Step 6: Final answer
    x = 4,221.63

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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.