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Finding the Fourth Proportional to 10,166.81, 14,028.19 and 5,689.70

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Solution

The fourth proportional to 10,166.81, 14,028.19 and 5,689.70 is: 7,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.81 : 14,028.19 = 5,689.70 : x
  2. Step 2: Convert to fraction form
    10,166.81/14,028.19 = 5,689.70/x
  3. Step 3: Cross multiply
    10,166.81x = 14,028.19 × 5,689.70
  4. Step 4: Simplify right side
    10,166.81x = 79,816,108.28
  5. Step 5: Solve for x
    x = 79,816,108.28/10,166.81
  6. Step 6: Final answer
    x = 7,850.65

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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.