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Finding the Fourth Proportional to 12,416.01, 17,138.10 and 7,951.78

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Solution

The fourth proportional to 12,416.01, 17,138.10 and 7,951.78 is: 10,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.01 : 17,138.10 = 7,951.78 : x
  2. Step 2: Convert to fraction form
    12,416.01/17,138.10 = 7,951.78/x
  3. Step 3: Cross multiply
    12,416.01x = 17,138.10 × 7,951.78
  4. Step 4: Simplify right side
    12,416.01x = 136,278,400.82
  5. Step 5: Solve for x
    x = 136,278,400.82/12,416.01
  6. Step 6: Final answer
    x = 10,976.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.