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Finding the Fourth Proportional to 6,759.19, 10,142.16 and 3,642.04

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Solution

The fourth proportional to 6,759.19, 10,142.16 and 3,642.04 is: 5,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.19 : 10,142.16 = 3,642.04 : x
  2. Step 2: Convert to fraction form
    6,759.19/10,142.16 = 3,642.04/x
  3. Step 3: Cross multiply
    6,759.19x = 10,142.16 × 3,642.04
  4. Step 4: Simplify right side
    6,759.19x = 36,938,152.41
  5. Step 5: Solve for x
    x = 36,938,152.41/6,759.19
  6. Step 6: Final answer
    x = 5,464.88

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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.