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Finding the Fourth Proportional to 11,182.17, 15,433.28 and 6,469.17

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Solution

The fourth proportional to 11,182.17, 15,433.28 and 6,469.17 is: 8,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.17 : 15,433.28 = 6,469.17 : x
  2. Step 2: Convert to fraction form
    11,182.17/15,433.28 = 6,469.17/x
  3. Step 3: Cross multiply
    11,182.17x = 15,433.28 × 6,469.17
  4. Step 4: Simplify right side
    11,182.17x = 99,840,479.63
  5. Step 5: Solve for x
    x = 99,840,479.63/11,182.17
  6. Step 6: Final answer
    x = 8,928.54

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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.