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Finding the Fourth Proportional to 8,839.62, 13,261.14 and 2,996.64

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Solution

The fourth proportional to 8,839.62, 13,261.14 and 2,996.64 is: 4,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,839.62 : 13,261.14 = 2,996.64 : x
  2. Step 2: Convert to fraction form
    8,839.62/13,261.14 = 2,996.64/x
  3. Step 3: Cross multiply
    8,839.62x = 13,261.14 × 2,996.64
  4. Step 4: Simplify right side
    8,839.62x = 39,738,862.57
  5. Step 5: Solve for x
    x = 39,738,862.57/8,839.62
  6. Step 6: Final answer
    x = 4,495.54

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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.