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Finding the Fourth Proportional to 11,484.33, 15,845.20 and 6,448.06

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Solution

The fourth proportional to 11,484.33, 15,845.20 and 6,448.06 is: 8,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.33 : 15,845.20 = 6,448.06 : x
  2. Step 2: Convert to fraction form
    11,484.33/15,845.20 = 6,448.06/x
  3. Step 3: Cross multiply
    11,484.33x = 15,845.20 × 6,448.06
  4. Step 4: Simplify right side
    11,484.33x = 102,170,800.31
  5. Step 5: Solve for x
    x = 102,170,800.31/11,484.33
  6. Step 6: Final answer
    x = 8,896.54

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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.