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Finding the Fourth Proportional to 6,864.75, 10,267.44 and 4,046.90

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Solution

The fourth proportional to 6,864.75, 10,267.44 and 4,046.90 is: 6,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.75 : 10,267.44 = 4,046.90 : x
  2. Step 2: Convert to fraction form
    6,864.75/10,267.44 = 4,046.90/x
  3. Step 3: Cross multiply
    6,864.75x = 10,267.44 × 4,046.90
  4. Step 4: Simplify right side
    6,864.75x = 41,551,302.94
  5. Step 5: Solve for x
    x = 41,551,302.94/6,864.75
  6. Step 6: Final answer
    x = 6,052.85

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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.