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Finding the Fourth Proportional to 12,400.86, 17,111.38 and 7,094.68

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Solution

The fourth proportional to 12,400.86, 17,111.38 and 7,094.68 is: 9,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.86 : 17,111.38 = 7,094.68 : x
  2. Step 2: Convert to fraction form
    12,400.86/17,111.38 = 7,094.68/x
  3. Step 3: Cross multiply
    12,400.86x = 17,111.38 × 7,094.68
  4. Step 4: Simplify right side
    12,400.86x = 121,399,765.46
  5. Step 5: Solve for x
    x = 121,399,765.46/12,400.86
  6. Step 6: Final answer
    x = 9,789.62

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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.