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Finding the Fourth Proportional to 11,493.89, 15,867.62 and 7,736.80

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Solution

The fourth proportional to 11,493.89, 15,867.62 and 7,736.80 is: 10,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.89 : 15,867.62 = 7,736.80 : x
  2. Step 2: Convert to fraction form
    11,493.89/15,867.62 = 7,736.80/x
  3. Step 3: Cross multiply
    11,493.89x = 15,867.62 × 7,736.80
  4. Step 4: Simplify right side
    11,493.89x = 122,764,602.42
  5. Step 5: Solve for x
    x = 122,764,602.42/11,493.89
  6. Step 6: Final answer
    x = 10,680.86

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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.