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Finding the Fourth Proportional to 8,350.82, 11,514.35 and 6,666.83

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Solution

The fourth proportional to 8,350.82, 11,514.35 and 6,666.83 is: 9,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350.82 : 11,514.35 = 6,666.83 : x
  2. Step 2: Convert to fraction form
    8,350.82/11,514.35 = 6,666.83/x
  3. Step 3: Cross multiply
    8,350.82x = 11,514.35 × 6,666.83
  4. Step 4: Simplify right side
    8,350.82x = 76,764,214.01
  5. Step 5: Solve for x
    x = 76,764,214.01/8,350.82
  6. Step 6: Final answer
    x = 9,192.42

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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.