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Finding the Fourth Proportional to 8,540.40, 12,787.44 and 4,427.76

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Solution

The fourth proportional to 8,540.40, 12,787.44 and 4,427.76 is: 6,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.40 : 12,787.44 = 4,427.76 : x
  2. Step 2: Convert to fraction form
    8,540.40/12,787.44 = 4,427.76/x
  3. Step 3: Cross multiply
    8,540.40x = 12,787.44 × 4,427.76
  4. Step 4: Simplify right side
    8,540.40x = 56,619,715.33
  5. Step 5: Solve for x
    x = 56,619,715.33/8,540.40
  6. Step 6: Final answer
    x = 6,629.63

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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.