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Finding the Fourth Proportional to 7,677.59, 11,517.86 and 2,997.41

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Solution

The fourth proportional to 7,677.59, 11,517.86 and 2,997.41 is: 4,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.59 : 11,517.86 = 2,997.41 : x
  2. Step 2: Convert to fraction form
    7,677.59/11,517.86 = 2,997.41/x
  3. Step 3: Cross multiply
    7,677.59x = 11,517.86 × 2,997.41
  4. Step 4: Simplify right side
    7,677.59x = 34,523,698.65
  5. Step 5: Solve for x
    x = 34,523,698.65/7,677.59
  6. Step 6: Final answer
    x = 4,496.69

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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.