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Finding the Fourth Proportional to 6,682.62, 10,024.86 and 2,299.50

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Solution

The fourth proportional to 6,682.62, 10,024.86 and 2,299.50 is: 3,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.62 : 10,024.86 = 2,299.50 : x
  2. Step 2: Convert to fraction form
    6,682.62/10,024.86 = 2,299.50/x
  3. Step 3: Cross multiply
    6,682.62x = 10,024.86 × 2,299.50
  4. Step 4: Simplify right side
    6,682.62x = 23,052,165.57
  5. Step 5: Solve for x
    x = 23,052,165.57/6,682.62
  6. Step 6: Final answer
    x = 3,449.57

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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.