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Finding the Fourth Proportional to 10,763.84, 16,083.43 and 8,251.28

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Solution

The fourth proportional to 10,763.84, 16,083.43 and 8,251.28 is: 12,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.84 : 16,083.43 = 8,251.28 : x
  2. Step 2: Convert to fraction form
    10,763.84/16,083.43 = 8,251.28/x
  3. Step 3: Cross multiply
    10,763.84x = 16,083.43 × 8,251.28
  4. Step 4: Simplify right side
    10,763.84x = 132,708,884.29
  5. Step 5: Solve for x
    x = 132,708,884.29/10,763.84
  6. Step 6: Final answer
    x = 12,329.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.