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Finding the Fourth Proportional to 8,284.82, 11,435.20 and 5,767.34

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Solution

The fourth proportional to 8,284.82, 11,435.20 and 5,767.34 is: 7,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.82 : 11,435.20 = 5,767.34 : x
  2. Step 2: Convert to fraction form
    8,284.82/11,435.20 = 5,767.34/x
  3. Step 3: Cross multiply
    8,284.82x = 11,435.20 × 5,767.34
  4. Step 4: Simplify right side
    8,284.82x = 65,950,686.37
  5. Step 5: Solve for x
    x = 65,950,686.37/8,284.82
  6. Step 6: Final answer
    x = 7,960.42

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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.