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Finding the Fourth Proportional to 10,995.48, 16,471.96 and 6,837.14

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Solution

The fourth proportional to 10,995.48, 16,471.96 and 6,837.14 is: 10,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995.48 : 16,471.96 = 6,837.14 : x
  2. Step 2: Convert to fraction form
    10,995.48/16,471.96 = 6,837.14/x
  3. Step 3: Cross multiply
    10,995.48x = 16,471.96 × 6,837.14
  4. Step 4: Simplify right side
    10,995.48x = 112,621,120.68
  5. Step 5: Solve for x
    x = 112,621,120.68/10,995.48
  6. Step 6: Final answer
    x = 10,242.49

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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.