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Finding the Fourth Proportional to 11,861.60, 16,374.24 and 7,083.20

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Solution

The fourth proportional to 11,861.60, 16,374.24 and 7,083.20 is: 9,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.60 : 16,374.24 = 7,083.20 : x
  2. Step 2: Convert to fraction form
    11,861.60/16,374.24 = 7,083.20/x
  3. Step 3: Cross multiply
    11,861.60x = 16,374.24 × 7,083.20
  4. Step 4: Simplify right side
    11,861.60x = 115,982,016.77
  5. Step 5: Solve for x
    x = 115,982,016.77/11,861.60
  6. Step 6: Final answer
    x = 9,777.94

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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.