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Finding the Fourth Proportional to 11,311.32, 15,608.91 and 6,832.42

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Solution

The fourth proportional to 11,311.32, 15,608.91 and 6,832.42 is: 9,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.32 : 15,608.91 = 6,832.42 : x
  2. Step 2: Convert to fraction form
    11,311.32/15,608.91 = 6,832.42/x
  3. Step 3: Cross multiply
    11,311.32x = 15,608.91 × 6,832.42
  4. Step 4: Simplify right side
    11,311.32x = 106,646,628.86
  5. Step 5: Solve for x
    x = 106,646,628.86/11,311.32
  6. Step 6: Final answer
    x = 9,428.31

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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.