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Finding the Fourth Proportional to 10,767.54, 16,153.47 and 3,841.86

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Solution

The fourth proportional to 10,767.54, 16,153.47 and 3,841.86 is: 5,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.54 : 16,153.47 = 3,841.86 : x
  2. Step 2: Convert to fraction form
    10,767.54/16,153.47 = 3,841.86/x
  3. Step 3: Cross multiply
    10,767.54x = 16,153.47 × 3,841.86
  4. Step 4: Simplify right side
    10,767.54x = 62,059,370.25
  5. Step 5: Solve for x
    x = 62,059,370.25/10,767.54
  6. Step 6: Final answer
    x = 5,763.56

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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.