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Finding the Fourth Proportional to 8,517.92, 12,784.98 and 3,586.28

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Solution

The fourth proportional to 8,517.92, 12,784.98 and 3,586.28 is: 5,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.92 : 12,784.98 = 3,586.28 : x
  2. Step 2: Convert to fraction form
    8,517.92/12,784.98 = 3,586.28/x
  3. Step 3: Cross multiply
    8,517.92x = 12,784.98 × 3,586.28
  4. Step 4: Simplify right side
    8,517.92x = 45,850,518.07
  5. Step 5: Solve for x
    x = 45,850,518.07/8,517.92
  6. Step 6: Final answer
    x = 5,382.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.