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Finding the Fourth Proportional to 8,145.69, 12,219.22 and 2,599.82

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Solution

The fourth proportional to 8,145.69, 12,219.22 and 2,599.82 is: 3,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.69 : 12,219.22 = 2,599.82 : x
  2. Step 2: Convert to fraction form
    8,145.69/12,219.22 = 2,599.82/x
  3. Step 3: Cross multiply
    8,145.69x = 12,219.22 × 2,599.82
  4. Step 4: Simplify right side
    8,145.69x = 31,767,772.54
  5. Step 5: Solve for x
    x = 31,767,772.54/8,145.69
  6. Step 6: Final answer
    x = 3,899.95

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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.