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Finding the Fourth Proportional to 11,074.96, 15,286.08 and 7,105.48

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Solution

The fourth proportional to 11,074.96, 15,286.08 and 7,105.48 is: 9,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074.96 : 15,286.08 = 7,105.48 : x
  2. Step 2: Convert to fraction form
    11,074.96/15,286.08 = 7,105.48/x
  3. Step 3: Cross multiply
    11,074.96x = 15,286.08 × 7,105.48
  4. Step 4: Simplify right side
    11,074.96x = 108,614,935.72
  5. Step 5: Solve for x
    x = 108,614,935.72/11,074.96
  6. Step 6: Final answer
    x = 9,807.25

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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.