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Finding the Fourth Proportional to 8,047.84, 11,105.82 and 4,462.78

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Solution

The fourth proportional to 8,047.84, 11,105.82 and 4,462.78 is: 6,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.84 : 11,105.82 = 4,462.78 : x
  2. Step 2: Convert to fraction form
    8,047.84/11,105.82 = 4,462.78/x
  3. Step 3: Cross multiply
    8,047.84x = 11,105.82 × 4,462.78
  4. Step 4: Simplify right side
    8,047.84x = 49,562,831.38
  5. Step 5: Solve for x
    x = 49,562,831.38/8,047.84
  6. Step 6: Final answer
    x = 6,158.53

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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.