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Finding the Fourth Proportional to 11,608.06, 16,032.18 and 7,846.75

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Solution

The fourth proportional to 11,608.06, 16,032.18 and 7,846.75 is: 10,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.06 : 16,032.18 = 7,846.75 : x
  2. Step 2: Convert to fraction form
    11,608.06/16,032.18 = 7,846.75/x
  3. Step 3: Cross multiply
    11,608.06x = 16,032.18 × 7,846.75
  4. Step 4: Simplify right side
    11,608.06x = 125,800,508.42
  5. Step 5: Solve for x
    x = 125,800,508.42/11,608.06
  6. Step 6: Final answer
    x = 10,837.34

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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.