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Finding the Fourth Proportional to 10,766.70, 16,145.19 and 3,841.38

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Solution

The fourth proportional to 10,766.70, 16,145.19 and 3,841.38 is: 5,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.70 : 16,145.19 = 3,841.38 : x
  2. Step 2: Convert to fraction form
    10,766.70/16,145.19 = 3,841.38/x
  3. Step 3: Cross multiply
    10,766.70x = 16,145.19 × 3,841.38
  4. Step 4: Simplify right side
    10,766.70x = 62,019,809.96
  5. Step 5: Solve for x
    x = 62,019,809.96/10,766.70
  6. Step 6: Final answer
    x = 5,760.34

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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.