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Finding the Fourth Proportional to 11,228.14, 15,494.81 and 6,754.49

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Solution

The fourth proportional to 11,228.14, 15,494.81 and 6,754.49 is: 9,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.14 : 15,494.81 = 6,754.49 : x
  2. Step 2: Convert to fraction form
    11,228.14/15,494.81 = 6,754.49/x
  3. Step 3: Cross multiply
    11,228.14x = 15,494.81 × 6,754.49
  4. Step 4: Simplify right side
    11,228.14x = 104,659,427.95
  5. Step 5: Solve for x
    x = 104,659,427.95/11,228.14
  6. Step 6: Final answer
    x = 9,321.17

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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.