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Finding the Fourth Proportional to 12,997.86, 17,929.35 and 7,964.34

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Solution

The fourth proportional to 12,997.86, 17,929.35 and 7,964.34 is: 10,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.86 : 17,929.35 = 7,964.34 : x
  2. Step 2: Convert to fraction form
    12,997.86/17,929.35 = 7,964.34/x
  3. Step 3: Cross multiply
    12,997.86x = 17,929.35 × 7,964.34
  4. Step 4: Simplify right side
    12,997.86x = 142,795,439.38
  5. Step 5: Solve for x
    x = 142,795,439.38/12,997.86
  6. Step 6: Final answer
    x = 10,986.07

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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.