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Finding the Fourth Proportional to 7,220.24, 10,825.80 and 3,522.80

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Solution

The fourth proportional to 7,220.24, 10,825.80 and 3,522.80 is: 5,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.24 : 10,825.80 = 3,522.80 : x
  2. Step 2: Convert to fraction form
    7,220.24/10,825.80 = 3,522.80/x
  3. Step 3: Cross multiply
    7,220.24x = 10,825.80 × 3,522.80
  4. Step 4: Simplify right side
    7,220.24x = 38,137,128.24
  5. Step 5: Solve for x
    x = 38,137,128.24/7,220.24
  6. Step 6: Final answer
    x = 5,281.98

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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.