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Finding the Fourth Proportional to 10,772.16, 14,865.76 and 5,992.48

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Solution

The fourth proportional to 10,772.16, 14,865.76 and 5,992.48 is: 8,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.16 : 14,865.76 = 5,992.48 : x
  2. Step 2: Convert to fraction form
    10,772.16/14,865.76 = 5,992.48/x
  3. Step 3: Cross multiply
    10,772.16x = 14,865.76 × 5,992.48
  4. Step 4: Simplify right side
    10,772.16x = 89,082,795.56
  5. Step 5: Solve for x
    x = 89,082,795.56/10,772.16
  6. Step 6: Final answer
    x = 8,269.73

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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.