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Finding the Fourth Proportional to 8,194.50, 11,309.37 and 4,658.24

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Solution

The fourth proportional to 8,194.50, 11,309.37 and 4,658.24 is: 6,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.50 : 11,309.37 = 4,658.24 : x
  2. Step 2: Convert to fraction form
    8,194.50/11,309.37 = 4,658.24/x
  3. Step 3: Cross multiply
    8,194.50x = 11,309.37 × 4,658.24
  4. Step 4: Simplify right side
    8,194.50x = 52,681,759.71
  5. Step 5: Solve for x
    x = 52,681,759.71/8,194.50
  6. Step 6: Final answer
    x = 6,428.92

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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.