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Finding the Fourth Proportional to 12,493.14, 17,250.48 and 7,720

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Solution

The fourth proportional to 12,493.14, 17,250.48 and 7,720 is: 10,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.14 : 17,250.48 = 7,720 : x
  2. Step 2: Convert to fraction form
    12,493.14/17,250.48 = 7,720/x
  3. Step 3: Cross multiply
    12,493.14x = 17,250.48 × 7,720
  4. Step 4: Simplify right side
    12,493.14x = 133,173,705.60
  5. Step 5: Solve for x
    x = 133,173,705.60/12,493.14
  6. Step 6: Final answer
    x = 10,659.75

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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.