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Finding the Fourth Proportional to 11,517.28, 15,892.68 and 6,803.44

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Solution

The fourth proportional to 11,517.28, 15,892.68 and 6,803.44 is: 9,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.28 : 15,892.68 = 6,803.44 : x
  2. Step 2: Convert to fraction form
    11,517.28/15,892.68 = 6,803.44/x
  3. Step 3: Cross multiply
    11,517.28x = 15,892.68 × 6,803.44
  4. Step 4: Simplify right side
    11,517.28x = 108,124,894.82
  5. Step 5: Solve for x
    x = 108,124,894.82/11,517.28
  6. Step 6: Final answer
    x = 9,388.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.