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Finding the Fourth Proportional to 8,282.07, 11,428.92 and 4,742.82

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Solution

The fourth proportional to 8,282.07, 11,428.92 and 4,742.82 is: 6,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.07 : 11,428.92 = 4,742.82 : x
  2. Step 2: Convert to fraction form
    8,282.07/11,428.92 = 4,742.82/x
  3. Step 3: Cross multiply
    8,282.07x = 11,428.92 × 4,742.82
  4. Step 4: Simplify right side
    8,282.07x = 54,205,310.35
  5. Step 5: Solve for x
    x = 54,205,310.35/8,282.07
  6. Step 6: Final answer
    x = 6,544.90

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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.