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Finding the Fourth Proportional to 10,466.60, 14,446.22 and 8,193.42

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Solution

The fourth proportional to 10,466.60, 14,446.22 and 8,193.42 is: 11,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.60 : 14,446.22 = 8,193.42 : x
  2. Step 2: Convert to fraction form
    10,466.60/14,446.22 = 8,193.42/x
  3. Step 3: Cross multiply
    10,466.60x = 14,446.22 × 8,193.42
  4. Step 4: Simplify right side
    10,466.60x = 118,363,906.91
  5. Step 5: Solve for x
    x = 118,363,906.91/10,466.60
  6. Step 6: Final answer
    x = 11,308.73

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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.