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Finding the Fourth Proportional to 6,207.84, 8,556.82 and 5,086.80

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Solution

The fourth proportional to 6,207.84, 8,556.82 and 5,086.80 is: 7,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.84 : 8,556.82 = 5,086.80 : x
  2. Step 2: Convert to fraction form
    6,207.84/8,556.82 = 5,086.80/x
  3. Step 3: Cross multiply
    6,207.84x = 8,556.82 × 5,086.80
  4. Step 4: Simplify right side
    6,207.84x = 43,526,831.98
  5. Step 5: Solve for x
    x = 43,526,831.98/6,207.84
  6. Step 6: Final answer
    x = 7,011.59

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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.