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Finding the Fourth Proportional to 11,770.27, 17,655.39 and 3,005.18

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Solution

The fourth proportional to 11,770.27, 17,655.39 and 3,005.18 is: 4,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.27 : 17,655.39 = 3,005.18 : x
  2. Step 2: Convert to fraction form
    11,770.27/17,655.39 = 3,005.18/x
  3. Step 3: Cross multiply
    11,770.27x = 17,655.39 × 3,005.18
  4. Step 4: Simplify right side
    11,770.27x = 53,057,624.92
  5. Step 5: Solve for x
    x = 53,057,624.92/11,770.27
  6. Step 6: Final answer
    x = 4,507.77

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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.