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Finding the Fourth Proportional to 8,485.42, 11,696.25 and 6,713.68

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Solution

The fourth proportional to 8,485.42, 11,696.25 and 6,713.68 is: 9,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.42 : 11,696.25 = 6,713.68 : x
  2. Step 2: Convert to fraction form
    8,485.42/11,696.25 = 6,713.68/x
  3. Step 3: Cross multiply
    8,485.42x = 11,696.25 × 6,713.68
  4. Step 4: Simplify right side
    8,485.42x = 78,524,879.70
  5. Step 5: Solve for x
    x = 78,524,879.70/8,485.42
  6. Step 6: Final answer
    x = 9,254.09

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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.