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Finding the Fourth Proportional to 8,853.28, 13,284.40 and 6,772

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Solution

The fourth proportional to 8,853.28, 13,284.40 and 6,772 is: 10,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,853.28 : 13,284.40 = 6,772 : x
  2. Step 2: Convert to fraction form
    8,853.28/13,284.40 = 6,772/x
  3. Step 3: Cross multiply
    8,853.28x = 13,284.40 × 6,772
  4. Step 4: Simplify right side
    8,853.28x = 89,961,956.80
  5. Step 5: Solve for x
    x = 89,961,956.80/8,853.28
  6. Step 6: Final answer
    x = 10,161.43

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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.