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Finding the Fourth Proportional to 8,556.82, 11,814.08 and 5,727.84

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Solution

The fourth proportional to 8,556.82, 11,814.08 and 5,727.84 is: 7,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556.82 : 11,814.08 = 5,727.84 : x
  2. Step 2: Convert to fraction form
    8,556.82/11,814.08 = 5,727.84/x
  3. Step 3: Cross multiply
    8,556.82x = 11,814.08 × 5,727.84
  4. Step 4: Simplify right side
    8,556.82x = 67,669,159.99
  5. Step 5: Solve for x
    x = 67,669,159.99/8,556.82
  6. Step 6: Final answer
    x = 7,908.21

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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.