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Finding the Fourth Proportional to 7,221.50, 10,832.28 and 3,117.50

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Solution

The fourth proportional to 7,221.50, 10,832.28 and 3,117.50 is: 4,676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.50 : 10,832.28 = 3,117.50 : x
  2. Step 2: Convert to fraction form
    7,221.50/10,832.28 = 3,117.50/x
  3. Step 3: Cross multiply
    7,221.50x = 10,832.28 × 3,117.50
  4. Step 4: Simplify right side
    7,221.50x = 33,769,632.90
  5. Step 5: Solve for x
    x = 33,769,632.90/7,221.50
  6. Step 6: Final answer
    x = 4,676.26

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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.