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Finding the Fourth Proportional to 6,744.41, 10,118.10 and 2,064.46

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Solution

The fourth proportional to 6,744.41, 10,118.10 and 2,064.46 is: 3,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.41 : 10,118.10 = 2,064.46 : x
  2. Step 2: Convert to fraction form
    6,744.41/10,118.10 = 2,064.46/x
  3. Step 3: Cross multiply
    6,744.41x = 10,118.10 × 2,064.46
  4. Step 4: Simplify right side
    6,744.41x = 20,888,412.73
  5. Step 5: Solve for x
    x = 20,888,412.73/6,744.41
  6. Step 6: Final answer
    x = 3,097.14

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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.