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Finding the Fourth Proportional to 8,278.53, 12,418.02 and 2,435.33

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Solution

The fourth proportional to 8,278.53, 12,418.02 and 2,435.33 is: 3,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.53 : 12,418.02 = 2,435.33 : x
  2. Step 2: Convert to fraction form
    8,278.53/12,418.02 = 2,435.33/x
  3. Step 3: Cross multiply
    8,278.53x = 12,418.02 × 2,435.33
  4. Step 4: Simplify right side
    8,278.53x = 30,241,914.56
  5. Step 5: Solve for x
    x = 30,241,914.56/8,278.53
  6. Step 6: Final answer
    x = 3,653.05

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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.