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Finding the Fourth Proportional to 10,992.80, 15,171.12 and 6,277.44

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Solution

The fourth proportional to 10,992.80, 15,171.12 and 6,277.44 is: 8,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.80 : 15,171.12 = 6,277.44 : x
  2. Step 2: Convert to fraction form
    10,992.80/15,171.12 = 6,277.44/x
  3. Step 3: Cross multiply
    10,992.80x = 15,171.12 × 6,277.44
  4. Step 4: Simplify right side
    10,992.80x = 95,235,795.53
  5. Step 5: Solve for x
    x = 95,235,795.53/10,992.80
  6. Step 6: Final answer
    x = 8,663.47

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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.