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Finding the Fourth Proportional to 11,693.73, 16,137.34 and 6,316.17

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Solution

The fourth proportional to 11,693.73, 16,137.34 and 6,316.17 is: 8,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.73 : 16,137.34 = 6,316.17 : x
  2. Step 2: Convert to fraction form
    11,693.73/16,137.34 = 6,316.17/x
  3. Step 3: Cross multiply
    11,693.73x = 16,137.34 × 6,316.17
  4. Step 4: Simplify right side
    11,693.73x = 101,926,182.79
  5. Step 5: Solve for x
    x = 101,926,182.79/11,693.73
  6. Step 6: Final answer
    x = 8,716.31

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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.