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Finding the Fourth Proportional to 6,896.48, 10,328.64 and 5,042.96

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Solution

The fourth proportional to 6,896.48, 10,328.64 and 5,042.96 is: 7,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.48 : 10,328.64 = 5,042.96 : x
  2. Step 2: Convert to fraction form
    6,896.48/10,328.64 = 5,042.96/x
  3. Step 3: Cross multiply
    6,896.48x = 10,328.64 × 5,042.96
  4. Step 4: Simplify right side
    6,896.48x = 52,086,918.37
  5. Step 5: Solve for x
    x = 52,086,918.37/6,896.48
  6. Step 6: Final answer
    x = 7,552.68

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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.