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Finding the Fourth Proportional to 11,711.34, 17,563.41 and 7,708.55

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Solution

The fourth proportional to 11,711.34, 17,563.41 and 7,708.55 is: 11,560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.34 : 17,563.41 = 7,708.55 : x
  2. Step 2: Convert to fraction form
    11,711.34/17,563.41 = 7,708.55/x
  3. Step 3: Cross multiply
    11,711.34x = 17,563.41 × 7,708.55
  4. Step 4: Simplify right side
    11,711.34x = 135,388,336.34
  5. Step 5: Solve for x
    x = 135,388,336.34/11,711.34
  6. Step 6: Final answer
    x = 11,560.45

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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.