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Finding the Fourth Proportional to 8,249.68, 11,376.42 and 7,566.70

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Solution

The fourth proportional to 8,249.68, 11,376.42 and 7,566.70 is: 10,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.68 : 11,376.42 = 7,566.70 : x
  2. Step 2: Convert to fraction form
    8,249.68/11,376.42 = 7,566.70/x
  3. Step 3: Cross multiply
    8,249.68x = 11,376.42 × 7,566.70
  4. Step 4: Simplify right side
    8,249.68x = 86,081,957.21
  5. Step 5: Solve for x
    x = 86,081,957.21/8,249.68
  6. Step 6: Final answer
    x = 10,434.58

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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.