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Finding the Fourth Proportional to 6,716.50, 10,074.78 and 2,099.50

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Solution

The fourth proportional to 6,716.50, 10,074.78 and 2,099.50 is: 3,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.50 : 10,074.78 = 2,099.50 : x
  2. Step 2: Convert to fraction form
    6,716.50/10,074.78 = 2,099.50/x
  3. Step 3: Cross multiply
    6,716.50x = 10,074.78 × 2,099.50
  4. Step 4: Simplify right side
    6,716.50x = 21,152,000.61
  5. Step 5: Solve for x
    x = 21,152,000.61/6,716.50
  6. Step 6: Final answer
    x = 3,149.26

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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.