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Finding the Fourth Proportional to 7,690.32, 11,534.22 and 2,144.04

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Solution

The fourth proportional to 7,690.32, 11,534.22 and 2,144.04 is: 3,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.32 : 11,534.22 = 2,144.04 : x
  2. Step 2: Convert to fraction form
    7,690.32/11,534.22 = 2,144.04/x
  3. Step 3: Cross multiply
    7,690.32x = 11,534.22 × 2,144.04
  4. Step 4: Simplify right side
    7,690.32x = 24,729,829.05
  5. Step 5: Solve for x
    x = 24,729,829.05/7,690.32
  6. Step 6: Final answer
    x = 3,215.71

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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.