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Finding the Fourth Proportional to 6,872.45, 10,305.43 and 4,098.40

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Solution

The fourth proportional to 6,872.45, 10,305.43 and 4,098.40 is: 6,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.45 : 10,305.43 = 4,098.40 : x
  2. Step 2: Convert to fraction form
    6,872.45/10,305.43 = 4,098.40/x
  3. Step 3: Cross multiply
    6,872.45x = 10,305.43 × 4,098.40
  4. Step 4: Simplify right side
    6,872.45x = 42,235,738.30
  5. Step 5: Solve for x
    x = 42,235,738.30/6,872.45
  6. Step 6: Final answer
    x = 6,145.66

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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.