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Finding the Fourth Proportional to 7,568.42, 11,342.16 and 3,862.85

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Solution

The fourth proportional to 7,568.42, 11,342.16 and 3,862.85 is: 5,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.42 : 11,342.16 = 3,862.85 : x
  2. Step 2: Convert to fraction form
    7,568.42/11,342.16 = 3,862.85/x
  3. Step 3: Cross multiply
    7,568.42x = 11,342.16 × 3,862.85
  4. Step 4: Simplify right side
    7,568.42x = 43,813,006.05
  5. Step 5: Solve for x
    x = 43,813,006.05/7,568.42
  6. Step 6: Final answer
    x = 5,788.93

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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.