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Finding the Fourth Proportional to 8,162.16, 11,264.04 and 4,436.16

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Solution

The fourth proportional to 8,162.16, 11,264.04 and 4,436.16 is: 6,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.16 : 11,264.04 = 4,436.16 : x
  2. Step 2: Convert to fraction form
    8,162.16/11,264.04 = 4,436.16/x
  3. Step 3: Cross multiply
    8,162.16x = 11,264.04 × 4,436.16
  4. Step 4: Simplify right side
    8,162.16x = 49,969,083.69
  5. Step 5: Solve for x
    x = 49,969,083.69/8,162.16
  6. Step 6: Final answer
    x = 6,122.04

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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.