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Finding the Fourth Proportional to 8,566.10, 11,819.22 and 6,446.78

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Solution

The fourth proportional to 8,566.10, 11,819.22 and 6,446.78 is: 8,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.10 : 11,819.22 = 6,446.78 : x
  2. Step 2: Convert to fraction form
    8,566.10/11,819.22 = 6,446.78/x
  3. Step 3: Cross multiply
    8,566.10x = 11,819.22 × 6,446.78
  4. Step 4: Simplify right side
    8,566.10x = 76,195,911.11
  5. Step 5: Solve for x
    x = 76,195,911.11/8,566.10
  6. Step 6: Final answer
    x = 8,895.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.