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Finding the Fourth Proportional to 10,794.24, 16,191.36 and 6,174

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Solution

The fourth proportional to 10,794.24, 16,191.36 and 6,174 is: 9,261

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.24 : 16,191.36 = 6,174 : x
  2. Step 2: Convert to fraction form
    10,794.24/16,191.36 = 6,174/x
  3. Step 3: Cross multiply
    10,794.24x = 16,191.36 × 6,174
  4. Step 4: Simplify right side
    10,794.24x = 99,965,456.64
  5. Step 5: Solve for x
    x = 99,965,456.64/10,794.24
  6. Step 6: Final answer
    x = 9,261

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