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Finding the Fourth Proportional to 11,908.16, 16,433.56 and 7,189.68

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Solution

The fourth proportional to 11,908.16, 16,433.56 and 7,189.68 is: 9,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.16 : 16,433.56 = 7,189.68 : x
  2. Step 2: Convert to fraction form
    11,908.16/16,433.56 = 7,189.68/x
  3. Step 3: Cross multiply
    11,908.16x = 16,433.56 × 7,189.68
  4. Step 4: Simplify right side
    11,908.16x = 118,152,037.66
  5. Step 5: Solve for x
    x = 118,152,037.66/11,908.16
  6. Step 6: Final answer
    x = 9,921.94

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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.