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Finding the Fourth Proportional to 6,666.86, 10,006.38 and 3,382.22

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Solution

The fourth proportional to 6,666.86, 10,006.38 and 3,382.22 is: 5,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.86 : 10,006.38 = 3,382.22 : x
  2. Step 2: Convert to fraction form
    6,666.86/10,006.38 = 3,382.22/x
  3. Step 3: Cross multiply
    6,666.86x = 10,006.38 × 3,382.22
  4. Step 4: Simplify right side
    6,666.86x = 33,843,728.53
  5. Step 5: Solve for x
    x = 33,843,728.53/6,666.86
  6. Step 6: Final answer
    x = 5,076.42

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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.