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Finding the Fourth Proportional to 6,822.40, 10,233.90 and 1,892.14

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Solution

The fourth proportional to 6,822.40, 10,233.90 and 1,892.14 is: 2,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.40 : 10,233.90 = 1,892.14 : x
  2. Step 2: Convert to fraction form
    6,822.40/10,233.90 = 1,892.14/x
  3. Step 3: Cross multiply
    6,822.40x = 10,233.90 × 1,892.14
  4. Step 4: Simplify right side
    6,822.40x = 19,363,971.55
  5. Step 5: Solve for x
    x = 19,363,971.55/6,822.40
  6. Step 6: Final answer
    x = 2,838.29

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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.