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Finding the Fourth Proportional to 11,227.83, 15,494.11 and 6,448.62

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Solution

The fourth proportional to 11,227.83, 15,494.11 and 6,448.62 is: 8,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.83 : 15,494.11 = 6,448.62 : x
  2. Step 2: Convert to fraction form
    11,227.83/15,494.11 = 6,448.62/x
  3. Step 3: Cross multiply
    11,227.83x = 15,494.11 × 6,448.62
  4. Step 4: Simplify right side
    11,227.83x = 99,915,627.63
  5. Step 5: Solve for x
    x = 99,915,627.63/11,227.83
  6. Step 6: Final answer
    x = 8,898.93

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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.