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Finding the Fourth Proportional to 11,662.60, 16,062.42 and 11,446.60

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Solution

The fourth proportional to 11,662.60, 16,062.42 and 11,446.60 is: 15,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.60 : 16,062.42 = 11,446.60 : x
  2. Step 2: Convert to fraction form
    11,662.60/16,062.42 = 11,446.60/x
  3. Step 3: Cross multiply
    11,662.60x = 16,062.42 × 11,446.60
  4. Step 4: Simplify right side
    11,662.60x = 183,860,096.77
  5. Step 5: Solve for x
    x = 183,860,096.77/11,662.60
  6. Step 6: Final answer
    x = 15,764.93

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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.