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Finding the Fourth Proportional to 11,896.63, 17,844.97 and 4,875.34

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Solution

The fourth proportional to 11,896.63, 17,844.97 and 4,875.34 is: 7,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.63 : 17,844.97 = 4,875.34 : x
  2. Step 2: Convert to fraction form
    11,896.63/17,844.97 = 4,875.34/x
  3. Step 3: Cross multiply
    11,896.63x = 17,844.97 × 4,875.34
  4. Step 4: Simplify right side
    11,896.63x = 87,000,288.70
  5. Step 5: Solve for x
    x = 87,000,288.70/11,896.63
  6. Step 6: Final answer
    x = 7,313.02

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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.