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Finding the Fourth Proportional to 6,711.21, 10,066.95 and 3,201.62

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Solution

The fourth proportional to 6,711.21, 10,066.95 and 3,201.62 is: 4,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.21 : 10,066.95 = 3,201.62 : x
  2. Step 2: Convert to fraction form
    6,711.21/10,066.95 = 3,201.62/x
  3. Step 3: Cross multiply
    6,711.21x = 10,066.95 × 3,201.62
  4. Step 4: Simplify right side
    6,711.21x = 32,230,498.12
  5. Step 5: Solve for x
    x = 32,230,498.12/6,711.21
  6. Step 6: Final answer
    x = 4,802.49

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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.