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Finding the Fourth Proportional to 6,822.40, 10,217.16 and 3,891.82

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Solution

The fourth proportional to 6,822.40, 10,217.16 and 3,891.82 is: 5,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.40 : 10,217.16 = 3,891.82 : x
  2. Step 2: Convert to fraction form
    6,822.40/10,217.16 = 3,891.82/x
  3. Step 3: Cross multiply
    6,822.40x = 10,217.16 × 3,891.82
  4. Step 4: Simplify right side
    6,822.40x = 39,763,347.63
  5. Step 5: Solve for x
    x = 39,763,347.63/6,822.40
  6. Step 6: Final answer
    x = 5,828.35

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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.