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Finding the Fourth Proportional to 8,188.84, 12,285.69 and 3,808.90

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Solution

The fourth proportional to 8,188.84, 12,285.69 and 3,808.90 is: 5,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.84 : 12,285.69 = 3,808.90 : x
  2. Step 2: Convert to fraction form
    8,188.84/12,285.69 = 3,808.90/x
  3. Step 3: Cross multiply
    8,188.84x = 12,285.69 × 3,808.90
  4. Step 4: Simplify right side
    8,188.84x = 46,794,964.64
  5. Step 5: Solve for x
    x = 46,794,964.64/8,188.84
  6. Step 6: Final answer
    x = 5,714.48

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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.