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Finding the Fourth Proportional to 6,872.83, 10,295.98 and 4,101.72

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Solution

The fourth proportional to 6,872.83, 10,295.98 and 4,101.72 is: 6,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.83 : 10,295.98 = 4,101.72 : x
  2. Step 2: Convert to fraction form
    6,872.83/10,295.98 = 4,101.72/x
  3. Step 3: Cross multiply
    6,872.83x = 10,295.98 × 4,101.72
  4. Step 4: Simplify right side
    6,872.83x = 42,231,227.09
  5. Step 5: Solve for x
    x = 42,231,227.09/6,872.83
  6. Step 6: Final answer
    x = 6,144.66

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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.