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Finding the Fourth Proportional to 11,908.66, 16,396.54 and 10,112.40

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Solution

The fourth proportional to 11,908.66, 16,396.54 and 10,112.40 is: 13,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.66 : 16,396.54 = 10,112.40 : x
  2. Step 2: Convert to fraction form
    11,908.66/16,396.54 = 10,112.40/x
  3. Step 3: Cross multiply
    11,908.66x = 16,396.54 × 10,112.40
  4. Step 4: Simplify right side
    11,908.66x = 165,808,371.10
  5. Step 5: Solve for x
    x = 165,808,371.10/11,908.66
  6. Step 6: Final answer
    x = 13,923.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.