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Finding the Fourth Proportional to 8,202.40, 12,274.44 and 4,722.64

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Solution

The fourth proportional to 8,202.40, 12,274.44 and 4,722.64 is: 7,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.40 : 12,274.44 = 4,722.64 : x
  2. Step 2: Convert to fraction form
    8,202.40/12,274.44 = 4,722.64/x
  3. Step 3: Cross multiply
    8,202.40x = 12,274.44 × 4,722.64
  4. Step 4: Simplify right side
    8,202.40x = 57,967,761.32
  5. Step 5: Solve for x
    x = 57,967,761.32/8,202.40
  6. Step 6: Final answer
    x = 7,067.17

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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.