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Finding the Fourth Proportional to 10,683, 16,022.52 and 2,890.80

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Solution

The fourth proportional to 10,683, 16,022.52 and 2,890.80 is: 4,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683 : 16,022.52 = 2,890.80 : x
  2. Step 2: Convert to fraction form
    10,683/16,022.52 = 2,890.80/x
  3. Step 3: Cross multiply
    10,683x = 16,022.52 × 2,890.80
  4. Step 4: Simplify right side
    10,683x = 46,317,900.82
  5. Step 5: Solve for x
    x = 46,317,900.82/10,683
  6. Step 6: Final answer
    x = 4,335.66

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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.