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Finding the Fourth Proportional to 6,822.90, 10,216.13 and 3,897.18

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Solution

The fourth proportional to 6,822.90, 10,216.13 and 3,897.18 is: 5,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.90 : 10,216.13 = 3,897.18 : x
  2. Step 2: Convert to fraction form
    6,822.90/10,216.13 = 3,897.18/x
  3. Step 3: Cross multiply
    6,822.90x = 10,216.13 × 3,897.18
  4. Step 4: Simplify right side
    6,822.90x = 39,814,078.03
  5. Step 5: Solve for x
    x = 39,814,078.03/6,822.90
  6. Step 6: Final answer
    x = 5,835.36

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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.