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Finding the Fourth Proportional to 6,837.96, 10,256.94 and 4,893.96

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Solution

The fourth proportional to 6,837.96, 10,256.94 and 4,893.96 is: 7,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.96 : 10,256.94 = 4,893.96 : x
  2. Step 2: Convert to fraction form
    6,837.96/10,256.94 = 4,893.96/x
  3. Step 3: Cross multiply
    6,837.96x = 10,256.94 × 4,893.96
  4. Step 4: Simplify right side
    6,837.96x = 50,197,054.08
  5. Step 5: Solve for x
    x = 50,197,054.08/6,837.96
  6. Step 6: Final answer
    x = 7,340.94

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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.