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Finding the Fourth Proportional to 11,571.92, 17,363.12 and 4,550

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Solution

The fourth proportional to 11,571.92, 17,363.12 and 4,550 is: 6,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.92 : 17,363.12 = 4,550 : x
  2. Step 2: Convert to fraction form
    11,571.92/17,363.12 = 4,550/x
  3. Step 3: Cross multiply
    11,571.92x = 17,363.12 × 4,550
  4. Step 4: Simplify right side
    11,571.92x = 79,002,196
  5. Step 5: Solve for x
    x = 79,002,196/11,571.92
  6. Step 6: Final answer
    x = 6,827.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.