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Finding the Fourth Proportional to 11,884.14, 17,806.16 and 7,717.91

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Solution

The fourth proportional to 11,884.14, 17,806.16 and 7,717.91 is: 11,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.14 : 17,806.16 = 7,717.91 : x
  2. Step 2: Convert to fraction form
    11,884.14/17,806.16 = 7,717.91/x
  3. Step 3: Cross multiply
    11,884.14x = 17,806.16 × 7,717.91
  4. Step 4: Simplify right side
    11,884.14x = 137,426,270.59
  5. Step 5: Solve for x
    x = 137,426,270.59/11,884.14
  6. Step 6: Final answer
    x = 11,563.84

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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.