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Finding the Fourth Proportional to 7,202.20, 10,801.67 and 2,585.20

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Solution

The fourth proportional to 7,202.20, 10,801.67 and 2,585.20 is: 3,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.20 : 10,801.67 = 2,585.20 : x
  2. Step 2: Convert to fraction form
    7,202.20/10,801.67 = 2,585.20/x
  3. Step 3: Cross multiply
    7,202.20x = 10,801.67 × 2,585.20
  4. Step 4: Simplify right side
    7,202.20x = 27,924,477.28
  5. Step 5: Solve for x
    x = 27,924,477.28/7,202.20
  6. Step 6: Final answer
    x = 3,877.21

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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.