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Finding the Fourth Proportional to 11,283.70, 15,571.38 and 6,247.96

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Solution

The fourth proportional to 11,283.70, 15,571.38 and 6,247.96 is: 8,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.70 : 15,571.38 = 6,247.96 : x
  2. Step 2: Convert to fraction form
    11,283.70/15,571.38 = 6,247.96/x
  3. Step 3: Cross multiply
    11,283.70x = 15,571.38 × 6,247.96
  4. Step 4: Simplify right side
    11,283.70x = 97,289,359.38
  5. Step 5: Solve for x
    x = 97,289,359.38/11,283.70
  6. Step 6: Final answer
    x = 8,622.12

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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.