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Finding the Fourth Proportional to 11,174.89, 16,746.74 and 8,398.31

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Solution

The fourth proportional to 11,174.89, 16,746.74 and 8,398.31 is: 12,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.89 : 16,746.74 = 8,398.31 : x
  2. Step 2: Convert to fraction form
    11,174.89/16,746.74 = 8,398.31/x
  3. Step 3: Cross multiply
    11,174.89x = 16,746.74 × 8,398.31
  4. Step 4: Simplify right side
    11,174.89x = 140,644,308.21
  5. Step 5: Solve for x
    x = 140,644,308.21/11,174.89
  6. Step 6: Final answer
    x = 12,585.75

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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.