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Finding the Fourth Proportional to 10,677.81, 16,016.37 and 4,834.43

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Solution

The fourth proportional to 10,677.81, 16,016.37 and 4,834.43 is: 7,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.81 : 16,016.37 = 4,834.43 : x
  2. Step 2: Convert to fraction form
    10,677.81/16,016.37 = 4,834.43/x
  3. Step 3: Cross multiply
    10,677.81x = 16,016.37 × 4,834.43
  4. Step 4: Simplify right side
    10,677.81x = 77,429,939.54
  5. Step 5: Solve for x
    x = 77,429,939.54/10,677.81
  6. Step 6: Final answer
    x = 7,251.48

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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.