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Finding the Fourth Proportional to 11,238.39, 16,857.18 and 3,447

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Solution

The fourth proportional to 11,238.39, 16,857.18 and 3,447 is: 5,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.39 : 16,857.18 = 3,447 : x
  2. Step 2: Convert to fraction form
    11,238.39/16,857.18 = 3,447/x
  3. Step 3: Cross multiply
    11,238.39x = 16,857.18 × 3,447
  4. Step 4: Simplify right side
    11,238.39x = 58,106,699.46
  5. Step 5: Solve for x
    x = 58,106,699.46/11,238.39
  6. Step 6: Final answer
    x = 5,170.38

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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.