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Finding the Fourth Proportional to 8,824.36, 13,241.80 and 3,278.20

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Solution

The fourth proportional to 8,824.36, 13,241.80 and 3,278.20 is: 4,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.36 : 13,241.80 = 3,278.20 : x
  2. Step 2: Convert to fraction form
    8,824.36/13,241.80 = 3,278.20/x
  3. Step 3: Cross multiply
    8,824.36x = 13,241.80 × 3,278.20
  4. Step 4: Simplify right side
    8,824.36x = 43,409,268.76
  5. Step 5: Solve for x
    x = 43,409,268.76/8,824.36
  6. Step 6: Final answer
    x = 4,919.25

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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.