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Finding the Fourth Proportional to 8,434.82, 11,639.99 and 4,658.24

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Solution

The fourth proportional to 8,434.82, 11,639.99 and 4,658.24 is: 6,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.82 : 11,639.99 = 4,658.24 : x
  2. Step 2: Convert to fraction form
    8,434.82/11,639.99 = 4,658.24/x
  3. Step 3: Cross multiply
    8,434.82x = 11,639.99 × 4,658.24
  4. Step 4: Simplify right side
    8,434.82x = 54,221,843.73
  5. Step 5: Solve for x
    x = 54,221,843.73/8,434.82
  6. Step 6: Final answer
    x = 6,428.33

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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.