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Finding the Fourth Proportional to 6,924.68, 10,382.14 and 3,459.48

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Solution

The fourth proportional to 6,924.68, 10,382.14 and 3,459.48 is: 5,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.68 : 10,382.14 = 3,459.48 : x
  2. Step 2: Convert to fraction form
    6,924.68/10,382.14 = 3,459.48/x
  3. Step 3: Cross multiply
    6,924.68x = 10,382.14 × 3,459.48
  4. Step 4: Simplify right side
    6,924.68x = 35,916,805.69
  5. Step 5: Solve for x
    x = 35,916,805.69/6,924.68
  6. Step 6: Final answer
    x = 5,186.78

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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.