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Finding the Fourth Proportional to 11,147.84, 16,707.09 and 6,219.80

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Solution

The fourth proportional to 11,147.84, 16,707.09 and 6,219.80 is: 9,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.84 : 16,707.09 = 6,219.80 : x
  2. Step 2: Convert to fraction form
    11,147.84/16,707.09 = 6,219.80/x
  3. Step 3: Cross multiply
    11,147.84x = 16,707.09 × 6,219.80
  4. Step 4: Simplify right side
    11,147.84x = 103,914,758.38
  5. Step 5: Solve for x
    x = 103,914,758.38/11,147.84
  6. Step 6: Final answer
    x = 9,321.52

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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.