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Finding the Fourth Proportional to 11,291.96, 15,584.36 and 6,818.24

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Solution

The fourth proportional to 11,291.96, 15,584.36 and 6,818.24 is: 9,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.96 : 15,584.36 = 6,818.24 : x
  2. Step 2: Convert to fraction form
    11,291.96/15,584.36 = 6,818.24/x
  3. Step 3: Cross multiply
    11,291.96x = 15,584.36 × 6,818.24
  4. Step 4: Simplify right side
    11,291.96x = 106,257,906.73
  5. Step 5: Solve for x
    x = 106,257,906.73/11,291.96
  6. Step 6: Final answer
    x = 9,410.05

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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.