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Finding the Fourth Proportional to 10,901.66, 16,336.86 and 6,211.97

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Solution

The fourth proportional to 10,901.66, 16,336.86 and 6,211.97 is: 9,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.66 : 16,336.86 = 6,211.97 : x
  2. Step 2: Convert to fraction form
    10,901.66/16,336.86 = 6,211.97/x
  3. Step 3: Cross multiply
    10,901.66x = 16,336.86 × 6,211.97
  4. Step 4: Simplify right side
    10,901.66x = 101,484,084.21
  5. Step 5: Solve for x
    x = 101,484,084.21/10,901.66
  6. Step 6: Final answer
    x = 9,309.05

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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.