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Finding the Fourth Proportional to 10,906.56, 16,345.92 and 6,223.08

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Solution

The fourth proportional to 10,906.56, 16,345.92 and 6,223.08 is: 9,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.56 : 16,345.92 = 6,223.08 : x
  2. Step 2: Convert to fraction form
    10,906.56/16,345.92 = 6,223.08/x
  3. Step 3: Cross multiply
    10,906.56x = 16,345.92 × 6,223.08
  4. Step 4: Simplify right side
    10,906.56x = 101,721,967.83
  5. Step 5: Solve for x
    x = 101,721,967.83/10,906.56
  6. Step 6: Final answer
    x = 9,326.68

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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.