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Finding the Fourth Proportional to 8,224.16, 12,339.33 and 4,939.54

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Solution

The fourth proportional to 8,224.16, 12,339.33 and 4,939.54 is: 7,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.16 : 12,339.33 = 4,939.54 : x
  2. Step 2: Convert to fraction form
    8,224.16/12,339.33 = 4,939.54/x
  3. Step 3: Cross multiply
    8,224.16x = 12,339.33 × 4,939.54
  4. Step 4: Simplify right side
    8,224.16x = 60,950,583.26
  5. Step 5: Solve for x
    x = 60,950,583.26/8,224.16
  6. Step 6: Final answer
    x = 7,411.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.