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Finding the Fourth Proportional to 8,267.40, 12,383.28 and 3,878.28

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Solution

The fourth proportional to 8,267.40, 12,383.28 and 3,878.28 is: 5,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.40 : 12,383.28 = 3,878.28 : x
  2. Step 2: Convert to fraction form
    8,267.40/12,383.28 = 3,878.28/x
  3. Step 3: Cross multiply
    8,267.40x = 12,383.28 × 3,878.28
  4. Step 4: Simplify right side
    8,267.40x = 48,025,827.16
  5. Step 5: Solve for x
    x = 48,025,827.16/8,267.40
  6. Step 6: Final answer
    x = 5,809.06

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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.