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Finding the Fourth Proportional to 10,083.44, 13,908.24 and 6,097.68

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Solution

The fourth proportional to 10,083.44, 13,908.24 and 6,097.68 is: 8,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.44 : 13,908.24 = 6,097.68 : x
  2. Step 2: Convert to fraction form
    10,083.44/13,908.24 = 6,097.68/x
  3. Step 3: Cross multiply
    10,083.44x = 13,908.24 × 6,097.68
  4. Step 4: Simplify right side
    10,083.44x = 84,807,996.88
  5. Step 5: Solve for x
    x = 84,807,996.88/10,083.44
  6. Step 6: Final answer
    x = 8,410.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.