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Finding the Fourth Proportional to 7,568.64, 11,355.39 and 3,675.78

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Solution

The fourth proportional to 7,568.64, 11,355.39 and 3,675.78 is: 5,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.64 : 11,355.39 = 3,675.78 : x
  2. Step 2: Convert to fraction form
    7,568.64/11,355.39 = 3,675.78/x
  3. Step 3: Cross multiply
    7,568.64x = 11,355.39 × 3,675.78
  4. Step 4: Simplify right side
    7,568.64x = 41,739,915.45
  5. Step 5: Solve for x
    x = 41,739,915.45/7,568.64
  6. Step 6: Final answer
    x = 5,514.85

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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.