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Finding the Fourth Proportional to 11,902.64, 17,857.56 and 4,112.24

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Solution

The fourth proportional to 11,902.64, 17,857.56 and 4,112.24 is: 6,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.64 : 17,857.56 = 4,112.24 : x
  2. Step 2: Convert to fraction form
    11,902.64/17,857.56 = 4,112.24/x
  3. Step 3: Cross multiply
    11,902.64x = 17,857.56 × 4,112.24
  4. Step 4: Simplify right side
    11,902.64x = 73,434,572.53
  5. Step 5: Solve for x
    x = 73,434,572.53/11,902.64
  6. Step 6: Final answer
    x = 6,169.60

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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.