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Finding the Fourth Proportional to 11,787.98, 16,266.80 and 6,481.76

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Solution

The fourth proportional to 11,787.98, 16,266.80 and 6,481.76 is: 8,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.98 : 16,266.80 = 6,481.76 : x
  2. Step 2: Convert to fraction form
    11,787.98/16,266.80 = 6,481.76/x
  3. Step 3: Cross multiply
    11,787.98x = 16,266.80 × 6,481.76
  4. Step 4: Simplify right side
    11,787.98x = 105,437,493.57
  5. Step 5: Solve for x
    x = 105,437,493.57/11,787.98
  6. Step 6: Final answer
    x = 8,944.49

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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.