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Finding the Fourth Proportional to 6,872.40, 10,297.94 and 4,768.14

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Solution

The fourth proportional to 6,872.40, 10,297.94 and 4,768.14 is: 7,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.40 : 10,297.94 = 4,768.14 : x
  2. Step 2: Convert to fraction form
    6,872.40/10,297.94 = 4,768.14/x
  3. Step 3: Cross multiply
    6,872.40x = 10,297.94 × 4,768.14
  4. Step 4: Simplify right side
    6,872.40x = 49,102,019.63
  5. Step 5: Solve for x
    x = 49,102,019.63/6,872.40
  6. Step 6: Final answer
    x = 7,144.81

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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.