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Finding the Fourth Proportional to 11,846.01, 17,769.02 and 4,054.89

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Solution

The fourth proportional to 11,846.01, 17,769.02 and 4,054.89 is: 6,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.01 : 17,769.02 = 4,054.89 : x
  2. Step 2: Convert to fraction form
    11,846.01/17,769.02 = 4,054.89/x
  3. Step 3: Cross multiply
    11,846.01x = 17,769.02 × 4,054.89
  4. Step 4: Simplify right side
    11,846.01x = 72,051,401.23
  5. Step 5: Solve for x
    x = 72,051,401.23/11,846.01
  6. Step 6: Final answer
    x = 6,082.34

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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.