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Finding the Fourth Proportional to 11,266.40, 16,867.20 and 6,892.40

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Solution

The fourth proportional to 11,266.40, 16,867.20 and 6,892.40 is: 10,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266.40 : 16,867.20 = 6,892.40 : x
  2. Step 2: Convert to fraction form
    11,266.40/16,867.20 = 6,892.40/x
  3. Step 3: Cross multiply
    11,266.40x = 16,867.20 × 6,892.40
  4. Step 4: Simplify right side
    11,266.40x = 116,255,489.28
  5. Step 5: Solve for x
    x = 116,255,489.28/11,266.40
  6. Step 6: Final answer
    x = 10,318.78

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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.