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Finding the Fourth Proportional to 8,006.12, 11,999.45 and 5,666.81

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Solution

The fourth proportional to 8,006.12, 11,999.45 and 5,666.81 is: 8,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.12 : 11,999.45 = 5,666.81 : x
  2. Step 2: Convert to fraction form
    8,006.12/11,999.45 = 5,666.81/x
  3. Step 3: Cross multiply
    8,006.12x = 11,999.45 × 5,666.81
  4. Step 4: Simplify right side
    8,006.12x = 67,998,543.26
  5. Step 5: Solve for x
    x = 67,998,543.26/8,006.12
  6. Step 6: Final answer
    x = 8,493.33

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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.