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Finding the Fourth Proportional to 11,478.23, 17,226.57 and 5,933.20

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Solution

The fourth proportional to 11,478.23, 17,226.57 and 5,933.20 is: 8,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.23 : 17,226.57 = 5,933.20 : x
  2. Step 2: Convert to fraction form
    11,478.23/17,226.57 = 5,933.20/x
  3. Step 3: Cross multiply
    11,478.23x = 17,226.57 × 5,933.20
  4. Step 4: Simplify right side
    11,478.23x = 102,208,642.06
  5. Step 5: Solve for x
    x = 102,208,642.06/11,478.23
  6. Step 6: Final answer
    x = 8,904.56

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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.