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Finding the Fourth Proportional to 11,701.76, 17,549.00 and 3,908.75

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Solution

The fourth proportional to 11,701.76, 17,549.00 and 3,908.75 is: 5,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.76 : 17,549.00 = 3,908.75 : x
  2. Step 2: Convert to fraction form
    11,701.76/17,549.00 = 3,908.75/x
  3. Step 3: Cross multiply
    11,701.76x = 17,549.00 × 3,908.75
  4. Step 4: Simplify right side
    11,701.76x = 68,594,634.21
  5. Step 5: Solve for x
    x = 68,594,634.21/11,701.76
  6. Step 6: Final answer
    x = 5,861.91

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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.