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Finding the Fourth Proportional to 8,127.80, 11,218.26 and 5,770.68

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Solution

The fourth proportional to 8,127.80, 11,218.26 and 5,770.68 is: 7,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.80 : 11,218.26 = 5,770.68 : x
  2. Step 2: Convert to fraction form
    8,127.80/11,218.26 = 5,770.68/x
  3. Step 3: Cross multiply
    8,127.80x = 11,218.26 × 5,770.68
  4. Step 4: Simplify right side
    8,127.80x = 64,736,988.62
  5. Step 5: Solve for x
    x = 64,736,988.62/8,127.80
  6. Step 6: Final answer
    x = 7,964.88

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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.