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Finding the Fourth Proportional to 10,825.71, 16,239.84 and 4,251.05

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Solution

The fourth proportional to 10,825.71, 16,239.84 and 4,251.05 is: 6,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.71 : 16,239.84 = 4,251.05 : x
  2. Step 2: Convert to fraction form
    10,825.71/16,239.84 = 4,251.05/x
  3. Step 3: Cross multiply
    10,825.71x = 16,239.84 × 4,251.05
  4. Step 4: Simplify right side
    10,825.71x = 69,036,290.63
  5. Step 5: Solve for x
    x = 69,036,290.63/10,825.71
  6. Step 6: Final answer
    x = 6,377.07

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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.