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Finding the Fourth Proportional to 11,384.94, 17,085.09 and 3,989.46

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Solution

The fourth proportional to 11,384.94, 17,085.09 and 3,989.46 is: 5,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.94 : 17,085.09 = 3,989.46 : x
  2. Step 2: Convert to fraction form
    11,384.94/17,085.09 = 3,989.46/x
  3. Step 3: Cross multiply
    11,384.94x = 17,085.09 × 3,989.46
  4. Step 4: Simplify right side
    11,384.94x = 68,160,283.15
  5. Step 5: Solve for x
    x = 68,160,283.15/11,384.94
  6. Step 6: Final answer
    x = 5,986.88

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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.