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Finding the Fourth Proportional to 6,712.56, 10,066.78 and 3,200.71

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Solution

The fourth proportional to 6,712.56, 10,066.78 and 3,200.71 is: 4,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.56 : 10,066.78 = 3,200.71 : x
  2. Step 2: Convert to fraction form
    6,712.56/10,066.78 = 3,200.71/x
  3. Step 3: Cross multiply
    6,712.56x = 10,066.78 × 3,200.71
  4. Step 4: Simplify right side
    6,712.56x = 32,220,843.41
  5. Step 5: Solve for x
    x = 32,220,843.41/6,712.56
  6. Step 6: Final answer
    x = 4,800.08

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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.