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Finding the Fourth Proportional to 8,124.93, 12,184.97 and 2,578.05

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Solution

The fourth proportional to 8,124.93, 12,184.97 and 2,578.05 is: 3,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.93 : 12,184.97 = 2,578.05 : x
  2. Step 2: Convert to fraction form
    8,124.93/12,184.97 = 2,578.05/x
  3. Step 3: Cross multiply
    8,124.93x = 12,184.97 × 2,578.05
  4. Step 4: Simplify right side
    8,124.93x = 31,413,449.02
  5. Step 5: Solve for x
    x = 31,413,449.02/8,124.93
  6. Step 6: Final answer
    x = 3,866.30

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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.