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Finding the Fourth Proportional to 8,566.20, 12,853.62 and 4,182.84

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Solution

The fourth proportional to 8,566.20, 12,853.62 and 4,182.84 is: 6,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.20 : 12,853.62 = 4,182.84 : x
  2. Step 2: Convert to fraction form
    8,566.20/12,853.62 = 4,182.84/x
  3. Step 3: Cross multiply
    8,566.20x = 12,853.62 × 4,182.84
  4. Step 4: Simplify right side
    8,566.20x = 53,764,635.88
  5. Step 5: Solve for x
    x = 53,764,635.88/8,566.20
  6. Step 6: Final answer
    x = 6,276.37

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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.