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Finding the Fourth Proportional to 8,022.53, 12,035.82 and 6,476.58

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Solution

The fourth proportional to 8,022.53, 12,035.82 and 6,476.58 is: 9,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.53 : 12,035.82 = 6,476.58 : x
  2. Step 2: Convert to fraction form
    8,022.53/12,035.82 = 6,476.58/x
  3. Step 3: Cross multiply
    8,022.53x = 12,035.82 × 6,476.58
  4. Step 4: Simplify right side
    8,022.53x = 77,950,951.10
  5. Step 5: Solve for x
    x = 77,950,951.10/8,022.53
  6. Step 6: Final answer
    x = 9,716.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.