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Finding the Fourth Proportional to 11,257.54, 15,535.45 and 6,153.15

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Solution

The fourth proportional to 11,257.54, 15,535.45 and 6,153.15 is: 8,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.54 : 15,535.45 = 6,153.15 : x
  2. Step 2: Convert to fraction form
    11,257.54/15,535.45 = 6,153.15/x
  3. Step 3: Cross multiply
    11,257.54x = 15,535.45 × 6,153.15
  4. Step 4: Simplify right side
    11,257.54x = 95,591,997.04
  5. Step 5: Solve for x
    x = 95,591,997.04/11,257.54
  6. Step 6: Final answer
    x = 8,491.38

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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.