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Finding the Fourth Proportional to 10,768.95, 16,148.57 and 3,843.63

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Solution

The fourth proportional to 10,768.95, 16,148.57 and 3,843.63 is: 5,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.95 : 16,148.57 = 3,843.63 : x
  2. Step 2: Convert to fraction form
    10,768.95/16,148.57 = 3,843.63/x
  3. Step 3: Cross multiply
    10,768.95x = 16,148.57 × 3,843.63
  4. Step 4: Simplify right side
    10,768.95x = 62,069,108.89
  5. Step 5: Solve for x
    x = 62,069,108.89/10,768.95
  6. Step 6: Final answer
    x = 5,763.71

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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.