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Finding the Fourth Proportional to 11,286.42, 15,571.89 and 7,301.22

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Solution

The fourth proportional to 11,286.42, 15,571.89 and 7,301.22 is: 10,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.42 : 15,571.89 = 7,301.22 : x
  2. Step 2: Convert to fraction form
    11,286.42/15,571.89 = 7,301.22/x
  3. Step 3: Cross multiply
    11,286.42x = 15,571.89 × 7,301.22
  4. Step 4: Simplify right side
    11,286.42x = 113,693,794.71
  5. Step 5: Solve for x
    x = 113,693,794.71/11,286.42
  6. Step 6: Final answer
    x = 10,073.50

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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.