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Finding the Fourth Proportional to 12,680.74, 17,497.38 and 7,961.68

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Solution

The fourth proportional to 12,680.74, 17,497.38 and 7,961.68 is: 10,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.74 : 17,497.38 = 7,961.68 : x
  2. Step 2: Convert to fraction form
    12,680.74/17,497.38 = 7,961.68/x
  3. Step 3: Cross multiply
    12,680.74x = 17,497.38 × 7,961.68
  4. Step 4: Simplify right side
    12,680.74x = 139,308,540.40
  5. Step 5: Solve for x
    x = 139,308,540.40/12,680.74
  6. Step 6: Final answer
    x = 10,985.84

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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.