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Finding the Fourth Proportional to 11,384.48, 17,084.39 and 3,989.00

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Solution

The fourth proportional to 11,384.48, 17,084.39 and 3,989.00 is: 5,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.48 : 17,084.39 = 3,989.00 : x
  2. Step 2: Convert to fraction form
    11,384.48/17,084.39 = 3,989.00/x
  3. Step 3: Cross multiply
    11,384.48x = 17,084.39 × 3,989.00
  4. Step 4: Simplify right side
    11,384.48x = 68,149,684.39
  5. Step 5: Solve for x
    x = 68,149,684.39/11,384.48
  6. Step 6: Final answer
    x = 5,986.19

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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.