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Finding the Fourth Proportional to 8,824.36, 13,236.52 and 6,878

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Solution

The fourth proportional to 8,824.36, 13,236.52 and 6,878 is: 10,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.36 : 13,236.52 = 6,878 : x
  2. Step 2: Convert to fraction form
    8,824.36/13,236.52 = 6,878/x
  3. Step 3: Cross multiply
    8,824.36x = 13,236.52 × 6,878
  4. Step 4: Simplify right side
    8,824.36x = 91,040,784.56
  5. Step 5: Solve for x
    x = 91,040,784.56/8,824.36
  6. Step 6: Final answer
    x = 10,316.98

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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.