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Finding the Fourth Proportional to 11,908.14, 16,433.46 and 6,603.46

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Solution

The fourth proportional to 11,908.14, 16,433.46 and 6,603.46 is: 9,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.14 : 16,433.46 = 6,603.46 : x
  2. Step 2: Convert to fraction form
    11,908.14/16,433.46 = 6,603.46/x
  3. Step 3: Cross multiply
    11,908.14x = 16,433.46 × 6,603.46
  4. Step 4: Simplify right side
    11,908.14x = 108,517,695.77
  5. Step 5: Solve for x
    x = 108,517,695.77/11,908.14
  6. Step 6: Final answer
    x = 9,112.90

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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.