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Finding the Fourth Proportional to 11,650.19, 17,473.13 and 3,857.99

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Solution

The fourth proportional to 11,650.19, 17,473.13 and 3,857.99 is: 5,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.19 : 17,473.13 = 3,857.99 : x
  2. Step 2: Convert to fraction form
    11,650.19/17,473.13 = 3,857.99/x
  3. Step 3: Cross multiply
    11,650.19x = 17,473.13 × 3,857.99
  4. Step 4: Simplify right side
    11,650.19x = 67,411,141.52
  5. Step 5: Solve for x
    x = 67,411,141.52/11,650.19
  6. Step 6: Final answer
    x = 5,786.27

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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.