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Finding the Fourth Proportional to 10,774.82, 16,154.76 and 5,499.56

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Solution

The fourth proportional to 10,774.82, 16,154.76 and 5,499.56 is: 8,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.82 : 16,154.76 = 5,499.56 : x
  2. Step 2: Convert to fraction form
    10,774.82/16,154.76 = 5,499.56/x
  3. Step 3: Cross multiply
    10,774.82x = 16,154.76 × 5,499.56
  4. Step 4: Simplify right side
    10,774.82x = 88,844,071.91
  5. Step 5: Solve for x
    x = 88,844,071.91/10,774.82
  6. Step 6: Final answer
    x = 8,245.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.