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Finding the Fourth Proportional to 11,484.73, 15,850.31 and 6,448.96

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Solution

The fourth proportional to 11,484.73, 15,850.31 and 6,448.96 is: 8,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.73 : 15,850.31 = 6,448.96 : x
  2. Step 2: Convert to fraction form
    11,484.73/15,850.31 = 6,448.96/x
  3. Step 3: Cross multiply
    11,484.73x = 15,850.31 × 6,448.96
  4. Step 4: Simplify right side
    11,484.73x = 102,217,943.31
  5. Step 5: Solve for x
    x = 102,217,943.31/11,484.73
  6. Step 6: Final answer
    x = 8,900.34

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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.