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Finding the Fourth Proportional to 6,816.66, 10,221.81 and 4,006.81

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Solution

The fourth proportional to 6,816.66, 10,221.81 and 4,006.81 is: 6,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.66 : 10,221.81 = 4,006.81 : x
  2. Step 2: Convert to fraction form
    6,816.66/10,221.81 = 4,006.81/x
  3. Step 3: Cross multiply
    6,816.66x = 10,221.81 × 4,006.81
  4. Step 4: Simplify right side
    6,816.66x = 40,956,850.53
  5. Step 5: Solve for x
    x = 40,956,850.53/6,816.66
  6. Step 6: Final answer
    x = 6,008.35

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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.