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Finding the Fourth Proportional to 11,704.64, 17,554.76 and 4,207.03

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Solution

The fourth proportional to 11,704.64, 17,554.76 and 4,207.03 is: 6,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.64 : 17,554.76 = 4,207.03 : x
  2. Step 2: Convert to fraction form
    11,704.64/17,554.76 = 4,207.03/x
  3. Step 3: Cross multiply
    11,704.64x = 17,554.76 × 4,207.03
  4. Step 4: Simplify right side
    11,704.64x = 73,853,401.96
  5. Step 5: Solve for x
    x = 73,853,401.96/11,704.64
  6. Step 6: Final answer
    x = 6,309.75

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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.