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Finding the Fourth Proportional to 11,090.92, 16,648.23 and 6,159.24

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Solution

The fourth proportional to 11,090.92, 16,648.23 and 6,159.24 is: 9,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,090.92 : 16,648.23 = 6,159.24 : x
  2. Step 2: Convert to fraction form
    11,090.92/16,648.23 = 6,159.24/x
  3. Step 3: Cross multiply
    11,090.92x = 16,648.23 × 6,159.24
  4. Step 4: Simplify right side
    11,090.92x = 102,540,330.11
  5. Step 5: Solve for x
    x = 102,540,330.11/11,090.92
  6. Step 6: Final answer
    x = 9,245.43

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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.