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Finding the Fourth Proportional to 8,049.19, 12,066.45 and 5,966.68

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Solution

The fourth proportional to 8,049.19, 12,066.45 and 5,966.68 is: 8,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.19 : 12,066.45 = 5,966.68 : x
  2. Step 2: Convert to fraction form
    8,049.19/12,066.45 = 5,966.68/x
  3. Step 3: Cross multiply
    8,049.19x = 12,066.45 × 5,966.68
  4. Step 4: Simplify right side
    8,049.19x = 71,996,645.89
  5. Step 5: Solve for x
    x = 71,996,645.89/8,049.19
  6. Step 6: Final answer
    x = 8,944.58

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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.