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Finding the Fourth Proportional to 7,568.17, 11,352.24 and 2,021.53

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Solution

The fourth proportional to 7,568.17, 11,352.24 and 2,021.53 is: 3,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.17 : 11,352.24 = 2,021.53 : x
  2. Step 2: Convert to fraction form
    7,568.17/11,352.24 = 2,021.53/x
  3. Step 3: Cross multiply
    7,568.17x = 11,352.24 × 2,021.53
  4. Step 4: Simplify right side
    7,568.17x = 22,948,893.73
  5. Step 5: Solve for x
    x = 22,948,893.73/7,568.17
  6. Step 6: Final answer
    x = 3,032.29

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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.