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Finding the Fourth Proportional to 8,227.52, 12,333.80 and 4,274.15

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Solution

The fourth proportional to 8,227.52, 12,333.80 and 4,274.15 is: 6,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.52 : 12,333.80 = 4,274.15 : x
  2. Step 2: Convert to fraction form
    8,227.52/12,333.80 = 4,274.15/x
  3. Step 3: Cross multiply
    8,227.52x = 12,333.80 × 4,274.15
  4. Step 4: Simplify right side
    8,227.52x = 52,716,428.23
  5. Step 5: Solve for x
    x = 52,716,428.23/8,227.52
  6. Step 6: Final answer
    x = 6,407.33

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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.