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Finding the Fourth Proportional to 8,107.74, 12,162.87 and 2,560.05

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Solution

The fourth proportional to 8,107.74, 12,162.87 and 2,560.05 is: 3,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.74 : 12,162.87 = 2,560.05 : x
  2. Step 2: Convert to fraction form
    8,107.74/12,162.87 = 2,560.05/x
  3. Step 3: Cross multiply
    8,107.74x = 12,162.87 × 2,560.05
  4. Step 4: Simplify right side
    8,107.74x = 31,137,555.34
  5. Step 5: Solve for x
    x = 31,137,555.34/8,107.74
  6. Step 6: Final answer
    x = 3,840.47

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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.