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Finding the Fourth Proportional to 11,105.43, 16,639.71 and 7,811.61

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Solution

The fourth proportional to 11,105.43, 16,639.71 and 7,811.61 is: 11,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.43 : 16,639.71 = 7,811.61 : x
  2. Step 2: Convert to fraction form
    11,105.43/16,639.71 = 7,811.61/x
  3. Step 3: Cross multiply
    11,105.43x = 16,639.71 × 7,811.61
  4. Step 4: Simplify right side
    11,105.43x = 129,982,925.03
  5. Step 5: Solve for x
    x = 129,982,925.03/11,105.43
  6. Step 6: Final answer
    x = 11,704.45

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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.