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Finding the Fourth Proportional to 6,116.80, 9,178.66 and 2,606.44

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Solution

The fourth proportional to 6,116.80, 9,178.66 and 2,606.44 is: 3,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.80 : 9,178.66 = 2,606.44 : x
  2. Step 2: Convert to fraction form
    6,116.80/9,178.66 = 2,606.44/x
  3. Step 3: Cross multiply
    6,116.80x = 9,178.66 × 2,606.44
  4. Step 4: Simplify right side
    6,116.80x = 23,923,610.14
  5. Step 5: Solve for x
    x = 23,923,610.14/6,116.80
  6. Step 6: Final answer
    x = 3,911.13

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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.