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Finding the Fourth Proportional to 8,496.40, 12,744.60 and 2,256.40

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Solution

The fourth proportional to 8,496.40, 12,744.60 and 2,256.40 is: 3,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.40 : 12,744.60 = 2,256.40 : x
  2. Step 2: Convert to fraction form
    8,496.40/12,744.60 = 2,256.40/x
  3. Step 3: Cross multiply
    8,496.40x = 12,744.60 × 2,256.40
  4. Step 4: Simplify right side
    8,496.40x = 28,756,915.44
  5. Step 5: Solve for x
    x = 28,756,915.44/8,496.40
  6. Step 6: Final answer
    x = 3,384.60

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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.