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Finding the Fourth Proportional to 11,744.01, 16,208.78 and 7,031.03

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Solution

The fourth proportional to 11,744.01, 16,208.78 and 7,031.03 is: 9,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.01 : 16,208.78 = 7,031.03 : x
  2. Step 2: Convert to fraction form
    11,744.01/16,208.78 = 7,031.03/x
  3. Step 3: Cross multiply
    11,744.01x = 16,208.78 × 7,031.03
  4. Step 4: Simplify right side
    11,744.01x = 113,964,302.24
  5. Step 5: Solve for x
    x = 113,964,302.24/11,744.01
  6. Step 6: Final answer
    x = 9,704.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.