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Finding the Fourth Proportional to 8,066.82, 12,092.94 and 5,602.80

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Solution

The fourth proportional to 8,066.82, 12,092.94 and 5,602.80 is: 8,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.82 : 12,092.94 = 5,602.80 : x
  2. Step 2: Convert to fraction form
    8,066.82/12,092.94 = 5,602.80/x
  3. Step 3: Cross multiply
    8,066.82x = 12,092.94 × 5,602.80
  4. Step 4: Simplify right side
    8,066.82x = 67,754,324.23
  5. Step 5: Solve for x
    x = 67,754,324.23/8,066.82
  6. Step 6: Final answer
    x = 8,399.14

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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.