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Finding the Fourth Proportional to 8,219.84, 12,326.10 and 2,375.06

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Solution

The fourth proportional to 8,219.84, 12,326.10 and 2,375.06 is: 3,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.84 : 12,326.10 = 2,375.06 : x
  2. Step 2: Convert to fraction form
    8,219.84/12,326.10 = 2,375.06/x
  3. Step 3: Cross multiply
    8,219.84x = 12,326.10 × 2,375.06
  4. Step 4: Simplify right side
    8,219.84x = 29,275,227.07
  5. Step 5: Solve for x
    x = 29,275,227.07/8,219.84
  6. Step 6: Final answer
    x = 3,561.53

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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.