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Finding the Fourth Proportional to 8,194.31, 11,309.46 and 4,658.66

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Solution

The fourth proportional to 8,194.31, 11,309.46 and 4,658.66 is: 6,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.31 : 11,309.46 = 4,658.66 : x
  2. Step 2: Convert to fraction form
    8,194.31/11,309.46 = 4,658.66/x
  3. Step 3: Cross multiply
    8,194.31x = 11,309.46 × 4,658.66
  4. Step 4: Simplify right side
    8,194.31x = 52,686,928.92
  5. Step 5: Solve for x
    x = 52,686,928.92/8,194.31
  6. Step 6: Final answer
    x = 6,429.70

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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.