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Finding the Fourth Proportional to 11,601.73, 17,402.58 and 4,206.17

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Solution

The fourth proportional to 11,601.73, 17,402.58 and 4,206.17 is: 6,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.73 : 17,402.58 = 4,206.17 : x
  2. Step 2: Convert to fraction form
    11,601.73/17,402.58 = 4,206.17/x
  3. Step 3: Cross multiply
    11,601.73x = 17,402.58 × 4,206.17
  4. Step 4: Simplify right side
    11,601.73x = 73,198,253.43
  5. Step 5: Solve for x
    x = 73,198,253.43/11,601.73
  6. Step 6: Final answer
    x = 6,309.25

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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.