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Finding the Fourth Proportional to 6,828.96, 10,243.44 and 4,884.96

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Solution

The fourth proportional to 6,828.96, 10,243.44 and 4,884.96 is: 7,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.96 : 10,243.44 = 4,884.96 : x
  2. Step 2: Convert to fraction form
    6,828.96/10,243.44 = 4,884.96/x
  3. Step 3: Cross multiply
    6,828.96x = 10,243.44 × 4,884.96
  4. Step 4: Simplify right side
    6,828.96x = 50,038,794.66
  5. Step 5: Solve for x
    x = 50,038,794.66/6,828.96
  6. Step 6: Final answer
    x = 7,327.44

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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.