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Finding the Fourth Proportional to 7,217.20, 10,825.80 and 5,759.20

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Solution

The fourth proportional to 7,217.20, 10,825.80 and 5,759.20 is: 8,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.20 : 10,825.80 = 5,759.20 : x
  2. Step 2: Convert to fraction form
    7,217.20/10,825.80 = 5,759.20/x
  3. Step 3: Cross multiply
    7,217.20x = 10,825.80 × 5,759.20
  4. Step 4: Simplify right side
    7,217.20x = 62,347,947.36
  5. Step 5: Solve for x
    x = 62,347,947.36/7,217.20
  6. Step 6: Final answer
    x = 8,638.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.