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Finding the Fourth Proportional to 7,092.66, 10,651.14 and 6,781.02

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Solution

The fourth proportional to 7,092.66, 10,651.14 and 6,781.02 is: 10,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.66 : 10,651.14 = 6,781.02 : x
  2. Step 2: Convert to fraction form
    7,092.66/10,651.14 = 6,781.02/x
  3. Step 3: Cross multiply
    7,092.66x = 10,651.14 × 6,781.02
  4. Step 4: Simplify right side
    7,092.66x = 72,225,593.36
  5. Step 5: Solve for x
    x = 72,225,593.36/7,092.66
  6. Step 6: Final answer
    x = 10,183.15

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Why These Related Problems?

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