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Finding the Fourth Proportional to 11,033.29, 15,229.43 and 7,054.42

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Solution

The fourth proportional to 11,033.29, 15,229.43 and 7,054.42 is: 9,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,033.29 : 15,229.43 = 7,054.42 : x
  2. Step 2: Convert to fraction form
    11,033.29/15,229.43 = 7,054.42/x
  3. Step 3: Cross multiply
    11,033.29x = 15,229.43 × 7,054.42
  4. Step 4: Simplify right side
    11,033.29x = 107,434,760.31
  5. Step 5: Solve for x
    x = 107,434,760.31/11,033.29
  6. Step 6: Final answer
    x = 9,737.33

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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.