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Finding the Fourth Proportional to 10,681.68, 16,022.34 and 3,756

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Solution

The fourth proportional to 10,681.68, 16,022.34 and 3,756 is: 5,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.68 : 16,022.34 = 3,756 : x
  2. Step 2: Convert to fraction form
    10,681.68/16,022.34 = 3,756/x
  3. Step 3: Cross multiply
    10,681.68x = 16,022.34 × 3,756
  4. Step 4: Simplify right side
    10,681.68x = 60,179,909.04
  5. Step 5: Solve for x
    x = 60,179,909.04/10,681.68
  6. Step 6: Final answer
    x = 5,633.94

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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.