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Finding the Fourth Proportional to 11,052.81, 15,266.57 and 8,023.09

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Solution

The fourth proportional to 11,052.81, 15,266.57 and 8,023.09 is: 11,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052.81 : 15,266.57 = 8,023.09 : x
  2. Step 2: Convert to fraction form
    11,052.81/15,266.57 = 8,023.09/x
  3. Step 3: Cross multiply
    11,052.81x = 15,266.57 × 8,023.09
  4. Step 4: Simplify right side
    11,052.81x = 122,485,065.10
  5. Step 5: Solve for x
    x = 122,485,065.10/11,052.81
  6. Step 6: Final answer
    x = 11,081.80

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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.