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Finding the Fourth Proportional to 8,189.16, 12,287.78 and 5,586.90

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Solution

The fourth proportional to 8,189.16, 12,287.78 and 5,586.90 is: 8,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.16 : 12,287.78 = 5,586.90 : x
  2. Step 2: Convert to fraction form
    8,189.16/12,287.78 = 5,586.90/x
  3. Step 3: Cross multiply
    8,189.16x = 12,287.78 × 5,586.90
  4. Step 4: Simplify right side
    8,189.16x = 68,650,598.08
  5. Step 5: Solve for x
    x = 68,650,598.08/8,189.16
  6. Step 6: Final answer
    x = 8,383.11

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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.