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Finding the Fourth Proportional to 11,608.31, 16,032.53 and 7,847

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Solution

The fourth proportional to 11,608.31, 16,032.53 and 7,847 is: 10,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.31 : 16,032.53 = 7,847 : x
  2. Step 2: Convert to fraction form
    11,608.31/16,032.53 = 7,847/x
  3. Step 3: Cross multiply
    11,608.31x = 16,032.53 × 7,847
  4. Step 4: Simplify right side
    11,608.31x = 125,807,223.68
  5. Step 5: Solve for x
    x = 125,807,223.68/11,608.31
  6. Step 6: Final answer
    x = 10,837.69

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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.