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Finding the Fourth Proportional to 11,777.92, 16,264.16 and 8,788.56

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Solution

The fourth proportional to 11,777.92, 16,264.16 and 8,788.56 is: 12,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.92 : 16,264.16 = 8,788.56 : x
  2. Step 2: Convert to fraction form
    11,777.92/16,264.16 = 8,788.56/x
  3. Step 3: Cross multiply
    11,777.92x = 16,264.16 × 8,788.56
  4. Step 4: Simplify right side
    11,777.92x = 142,938,546.01
  5. Step 5: Solve for x
    x = 142,938,546.01/11,777.92
  6. Step 6: Final answer
    x = 12,136.15

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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.