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Finding the Fourth Proportional to 8,133.38, 11,224.06 and 4,407.38

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Solution

The fourth proportional to 8,133.38, 11,224.06 and 4,407.38 is: 6,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.38 : 11,224.06 = 4,407.38 : x
  2. Step 2: Convert to fraction form
    8,133.38/11,224.06 = 4,407.38/x
  3. Step 3: Cross multiply
    8,133.38x = 11,224.06 × 4,407.38
  4. Step 4: Simplify right side
    8,133.38x = 49,468,697.56
  5. Step 5: Solve for x
    x = 49,468,697.56/8,133.38
  6. Step 6: Final answer
    x = 6,082.18

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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.