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Finding the Fourth Proportional to 4,107.81, 6,162.05 and 1,186.14

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Solution

The fourth proportional to 4,107.81, 6,162.05 and 1,186.14 is: 1,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.81 : 6,162.05 = 1,186.14 : x
  2. Step 2: Convert to fraction form
    4,107.81/6,162.05 = 1,186.14/x
  3. Step 3: Cross multiply
    4,107.81x = 6,162.05 × 1,186.14
  4. Step 4: Simplify right side
    4,107.81x = 7,309,053.99
  5. Step 5: Solve for x
    x = 7,309,053.99/4,107.81
  6. Step 6: Final answer
    x = 1,779.31

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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.