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Finding the Fourth Proportional to 10,805, 14,910.90 and 5,837

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Solution

The fourth proportional to 10,805, 14,910.90 and 5,837 is: 8,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805 : 14,910.90 = 5,837 : x
  2. Step 2: Convert to fraction form
    10,805/14,910.90 = 5,837/x
  3. Step 3: Cross multiply
    10,805x = 14,910.90 × 5,837
  4. Step 4: Simplify right side
    10,805x = 87,034,923.30
  5. Step 5: Solve for x
    x = 87,034,923.30/10,805
  6. Step 6: Final answer
    x = 8,055.06

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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.