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Finding the Fourth Proportional to 10,707.80, 14,777.44 and 5,992.38

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Solution

The fourth proportional to 10,707.80, 14,777.44 and 5,992.38 is: 8,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.80 : 14,777.44 = 5,992.38 : x
  2. Step 2: Convert to fraction form
    10,707.80/14,777.44 = 5,992.38/x
  3. Step 3: Cross multiply
    10,707.80x = 14,777.44 × 5,992.38
  4. Step 4: Simplify right side
    10,707.80x = 88,552,020.93
  5. Step 5: Solve for x
    x = 88,552,020.93/10,707.80
  6. Step 6: Final answer
    x = 8,269.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.