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Finding the Fourth Proportional to 7,202.42, 10,801.18 and 3,502.29

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Solution

The fourth proportional to 7,202.42, 10,801.18 and 3,502.29 is: 5,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.42 : 10,801.18 = 3,502.29 : x
  2. Step 2: Convert to fraction form
    7,202.42/10,801.18 = 3,502.29/x
  3. Step 3: Cross multiply
    7,202.42x = 10,801.18 × 3,502.29
  4. Step 4: Simplify right side
    7,202.42x = 37,828,855.95
  5. Step 5: Solve for x
    x = 37,828,855.95/7,202.42
  6. Step 6: Final answer
    x = 5,252.25

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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.