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Finding the Fourth Proportional to 11,502.76, 17,286.96 and 5,663.44

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Solution

The fourth proportional to 11,502.76, 17,286.96 and 5,663.44 is: 8,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.76 : 17,286.96 = 5,663.44 : x
  2. Step 2: Convert to fraction form
    11,502.76/17,286.96 = 5,663.44/x
  3. Step 3: Cross multiply
    11,502.76x = 17,286.96 × 5,663.44
  4. Step 4: Simplify right side
    11,502.76x = 97,903,660.74
  5. Step 5: Solve for x
    x = 97,903,660.74/11,502.76
  6. Step 6: Final answer
    x = 8,511.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.