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Finding the Fourth Proportional to 7,674.08, 11,494.10 and 6,206.36

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Solution

The fourth proportional to 7,674.08, 11,494.10 and 6,206.36 is: 9,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.08 : 11,494.10 = 6,206.36 : x
  2. Step 2: Convert to fraction form
    7,674.08/11,494.10 = 6,206.36/x
  3. Step 3: Cross multiply
    7,674.08x = 11,494.10 × 6,206.36
  4. Step 4: Simplify right side
    7,674.08x = 71,336,480.52
  5. Step 5: Solve for x
    x = 71,336,480.52/7,674.08
  6. Step 6: Final answer
    x = 9,295.78

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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.