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Finding the Fourth Proportional to 8,147.01, 12,224.16 and 4,684.26

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Solution

The fourth proportional to 8,147.01, 12,224.16 and 4,684.26 is: 7,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.01 : 12,224.16 = 4,684.26 : x
  2. Step 2: Convert to fraction form
    8,147.01/12,224.16 = 4,684.26/x
  3. Step 3: Cross multiply
    8,147.01x = 12,224.16 × 4,684.26
  4. Step 4: Simplify right side
    8,147.01x = 57,261,143.72
  5. Step 5: Solve for x
    x = 57,261,143.72/8,147.01
  6. Step 6: Final answer
    x = 7,028.49

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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.