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Finding the Fourth Proportional to 8,026.67, 11,066.68 and 5,189.24

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Solution

The fourth proportional to 8,026.67, 11,066.68 and 5,189.24 is: 7,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.67 : 11,066.68 = 5,189.24 : x
  2. Step 2: Convert to fraction form
    8,026.67/11,066.68 = 5,189.24/x
  3. Step 3: Cross multiply
    8,026.67x = 11,066.68 × 5,189.24
  4. Step 4: Simplify right side
    8,026.67x = 57,427,658.52
  5. Step 5: Solve for x
    x = 57,427,658.52/8,026.67
  6. Step 6: Final answer
    x = 7,154.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.