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Finding the Fourth Proportional to 8,384.44, 12,578.72 and 2,540.72

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Solution

The fourth proportional to 8,384.44, 12,578.72 and 2,540.72 is: 3,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.44 : 12,578.72 = 2,540.72 : x
  2. Step 2: Convert to fraction form
    8,384.44/12,578.72 = 2,540.72/x
  3. Step 3: Cross multiply
    8,384.44x = 12,578.72 × 2,540.72
  4. Step 4: Simplify right side
    8,384.44x = 31,959,005.48
  5. Step 5: Solve for x
    x = 31,959,005.48/8,384.44
  6. Step 6: Final answer
    x = 3,811.70

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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.