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Finding the Fourth Proportional to 11,472, 15,832.96 and 6,504

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Solution

The fourth proportional to 11,472, 15,832.96 and 6,504 is: 8,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472 : 15,832.96 = 6,504 : x
  2. Step 2: Convert to fraction form
    11,472/15,832.96 = 6,504/x
  3. Step 3: Cross multiply
    11,472x = 15,832.96 × 6,504
  4. Step 4: Simplify right side
    11,472x = 102,977,571.84
  5. Step 5: Solve for x
    x = 102,977,571.84/11,472
  6. Step 6: Final answer
    x = 8,976.43

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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.