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Finding the Fourth Proportional to 11,846, 17,769.09 and 4,054.88

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Solution

The fourth proportional to 11,846, 17,769.09 and 4,054.88 is: 6,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846 : 17,769.09 = 4,054.88 : x
  2. Step 2: Convert to fraction form
    11,846/17,769.09 = 4,054.88/x
  3. Step 3: Cross multiply
    11,846x = 17,769.09 × 4,054.88
  4. Step 4: Simplify right side
    11,846x = 72,051,527.66
  5. Step 5: Solve for x
    x = 72,051,527.66/11,846
  6. Step 6: Final answer
    x = 6,082.35

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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.