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Finding the Fourth Proportional to 10,956.50, 16,429.87 and 6,796.34

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Solution

The fourth proportional to 10,956.50, 16,429.87 and 6,796.34 is: 10,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.50 : 16,429.87 = 6,796.34 : x
  2. Step 2: Convert to fraction form
    10,956.50/16,429.87 = 6,796.34/x
  3. Step 3: Cross multiply
    10,956.50x = 16,429.87 × 6,796.34
  4. Step 4: Simplify right side
    10,956.50x = 111,662,866.54
  5. Step 5: Solve for x
    x = 111,662,866.54/10,956.50
  6. Step 6: Final answer
    x = 10,191.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.