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Finding the Fourth Proportional to 8,586.84, 12,879.72 and 3,320.80

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Solution

The fourth proportional to 8,586.84, 12,879.72 and 3,320.80 is: 4,980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.84 : 12,879.72 = 3,320.80 : x
  2. Step 2: Convert to fraction form
    8,586.84/12,879.72 = 3,320.80/x
  3. Step 3: Cross multiply
    8,586.84x = 12,879.72 × 3,320.80
  4. Step 4: Simplify right side
    8,586.84x = 42,770,974.18
  5. Step 5: Solve for x
    x = 42,770,974.18/8,586.84
  6. Step 6: Final answer
    x = 4,980.99

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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.