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Finding the Fourth Proportional to 11,673.91, 16,111.34 and 6,500.31

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Solution

The fourth proportional to 11,673.91, 16,111.34 and 6,500.31 is: 8,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.91 : 16,111.34 = 6,500.31 : x
  2. Step 2: Convert to fraction form
    11,673.91/16,111.34 = 6,500.31/x
  3. Step 3: Cross multiply
    11,673.91x = 16,111.34 × 6,500.31
  4. Step 4: Simplify right side
    11,673.91x = 104,728,704.52
  5. Step 5: Solve for x
    x = 104,728,704.52/11,673.91
  6. Step 6: Final answer
    x = 8,971.18

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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.