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Finding the Fourth Proportional to 7,677.64, 11,517.18 and 3,061

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Solution

The fourth proportional to 7,677.64, 11,517.18 and 3,061 is: 4,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.64 : 11,517.18 = 3,061 : x
  2. Step 2: Convert to fraction form
    7,677.64/11,517.18 = 3,061/x
  3. Step 3: Cross multiply
    7,677.64x = 11,517.18 × 3,061
  4. Step 4: Simplify right side
    7,677.64x = 35,254,087.98
  5. Step 5: Solve for x
    x = 35,254,087.98/7,677.64
  6. Step 6: Final answer
    x = 4,591.79

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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.