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Finding the Fourth Proportional to 6,704.12, 10,057.49 and 2,024.51

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Solution

The fourth proportional to 6,704.12, 10,057.49 and 2,024.51 is: 3,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.12 : 10,057.49 = 2,024.51 : x
  2. Step 2: Convert to fraction form
    6,704.12/10,057.49 = 2,024.51/x
  3. Step 3: Cross multiply
    6,704.12x = 10,057.49 × 2,024.51
  4. Step 4: Simplify right side
    6,704.12x = 20,361,428.67
  5. Step 5: Solve for x
    x = 20,361,428.67/6,704.12
  6. Step 6: Final answer
    x = 3,037.15

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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.