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Finding the Fourth Proportional to 8,042.56, 12,066.27 and 3,110.47

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Solution

The fourth proportional to 8,042.56, 12,066.27 and 3,110.47 is: 4,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.56 : 12,066.27 = 3,110.47 : x
  2. Step 2: Convert to fraction form
    8,042.56/12,066.27 = 3,110.47/x
  3. Step 3: Cross multiply
    8,042.56x = 12,066.27 × 3,110.47
  4. Step 4: Simplify right side
    8,042.56x = 37,531,770.85
  5. Step 5: Solve for x
    x = 37,531,770.85/8,042.56
  6. Step 6: Final answer
    x = 4,666.64

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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.