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Finding the Fourth Proportional to 11,433.15, 17,156.07 and 5,589.81

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Solution

The fourth proportional to 11,433.15, 17,156.07 and 5,589.81 is: 8,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.15 : 17,156.07 = 5,589.81 : x
  2. Step 2: Convert to fraction form
    11,433.15/17,156.07 = 5,589.81/x
  3. Step 3: Cross multiply
    11,433.15x = 17,156.07 × 5,589.81
  4. Step 4: Simplify right side
    11,433.15x = 95,899,171.65
  5. Step 5: Solve for x
    x = 95,899,171.65/11,433.15
  6. Step 6: Final answer
    x = 8,387.82

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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.