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Finding the Fourth Proportional to 8,247.38, 11,382.10 and 4,522.10

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Solution

The fourth proportional to 8,247.38, 11,382.10 and 4,522.10 is: 6,240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.38 : 11,382.10 = 4,522.10 : x
  2. Step 2: Convert to fraction form
    8,247.38/11,382.10 = 4,522.10/x
  3. Step 3: Cross multiply
    8,247.38x = 11,382.10 × 4,522.10
  4. Step 4: Simplify right side
    8,247.38x = 51,470,937.50
  5. Step 5: Solve for x
    x = 51,470,937.50/8,247.38
  6. Step 6: Final answer
    x = 6,240.89

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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.