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Finding the Fourth Proportional to 11,298.39, 15,589.74 and 6,517.21

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Solution

The fourth proportional to 11,298.39, 15,589.74 and 6,517.21 is: 8,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.39 : 15,589.74 = 6,517.21 : x
  2. Step 2: Convert to fraction form
    11,298.39/15,589.74 = 6,517.21/x
  3. Step 3: Cross multiply
    11,298.39x = 15,589.74 × 6,517.21
  4. Step 4: Simplify right side
    11,298.39x = 101,601,605.79
  5. Step 5: Solve for x
    x = 101,601,605.79/11,298.39
  6. Step 6: Final answer
    x = 8,992.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.