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Finding the Fourth Proportional to 10,633.81, 14,677.99 and 6,857.02

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Solution

The fourth proportional to 10,633.81, 14,677.99 and 6,857.02 is: 9,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.81 : 14,677.99 = 6,857.02 : x
  2. Step 2: Convert to fraction form
    10,633.81/14,677.99 = 6,857.02/x
  3. Step 3: Cross multiply
    10,633.81x = 14,677.99 × 6,857.02
  4. Step 4: Simplify right side
    10,633.81x = 100,647,197.60
  5. Step 5: Solve for x
    x = 100,647,197.60/10,633.81
  6. Step 6: Final answer
    x = 9,464.83

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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.