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Finding the Fourth Proportional to 6,710.81, 10,066.21 and 2,549.84

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Solution

The fourth proportional to 6,710.81, 10,066.21 and 2,549.84 is: 3,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.81 : 10,066.21 = 2,549.84 : x
  2. Step 2: Convert to fraction form
    6,710.81/10,066.21 = 2,549.84/x
  3. Step 3: Cross multiply
    6,710.81x = 10,066.21 × 2,549.84
  4. Step 4: Simplify right side
    6,710.81x = 25,667,168.20
  5. Step 5: Solve for x
    x = 25,667,168.20/6,710.81
  6. Step 6: Final answer
    x = 3,824.75

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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.