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Finding the Fourth Proportional to 8,188.83, 12,287.25 and 3,809.34

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Solution

The fourth proportional to 8,188.83, 12,287.25 and 3,809.34 is: 5,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.83 : 12,287.25 = 3,809.34 : x
  2. Step 2: Convert to fraction form
    8,188.83/12,287.25 = 3,809.34/x
  3. Step 3: Cross multiply
    8,188.83x = 12,287.25 × 3,809.34
  4. Step 4: Simplify right side
    8,188.83x = 46,806,312.92
  5. Step 5: Solve for x
    x = 46,806,312.92/8,188.83
  6. Step 6: Final answer
    x = 5,715.87

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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.