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Finding the Fourth Proportional to 6,781.98, 9,359.90 and 5,186.38

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Solution

The fourth proportional to 6,781.98, 9,359.90 and 5,186.38 is: 7,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.98 : 9,359.90 = 5,186.38 : x
  2. Step 2: Convert to fraction form
    6,781.98/9,359.90 = 5,186.38/x
  3. Step 3: Cross multiply
    6,781.98x = 9,359.90 × 5,186.38
  4. Step 4: Simplify right side
    6,781.98x = 48,544,015.00
  5. Step 5: Solve for x
    x = 48,544,015.00/6,781.98
  6. Step 6: Final answer
    x = 7,157.80

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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.