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Finding the Fourth Proportional to 6,828.93, 10,245.89 and 2,881.17

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Solution

The fourth proportional to 6,828.93, 10,245.89 and 2,881.17 is: 4,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.93 : 10,245.89 = 2,881.17 : x
  2. Step 2: Convert to fraction form
    6,828.93/10,245.89 = 2,881.17/x
  3. Step 3: Cross multiply
    6,828.93x = 10,245.89 × 2,881.17
  4. Step 4: Simplify right side
    6,828.93x = 29,520,136.49
  5. Step 5: Solve for x
    x = 29,520,136.49/6,828.93
  6. Step 6: Final answer
    x = 4,322.81

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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.