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Finding the Fourth Proportional to 11,528.84, 17,287.79 and 5,286.98

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Solution

The fourth proportional to 11,528.84, 17,287.79 and 5,286.98 is: 7,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,528.84 : 17,287.79 = 5,286.98 : x
  2. Step 2: Convert to fraction form
    11,528.84/17,287.79 = 5,286.98/x
  3. Step 3: Cross multiply
    11,528.84x = 17,287.79 × 5,286.98
  4. Step 4: Simplify right side
    11,528.84x = 91,400,087.10
  5. Step 5: Solve for x
    x = 91,400,087.10/11,528.84
  6. Step 6: Final answer
    x = 7,927.96

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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.