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Finding the Fourth Proportional to 11,604.72, 17,406.26 and 4,207.80

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Solution

The fourth proportional to 11,604.72, 17,406.26 and 4,207.80 is: 6,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.72 : 17,406.26 = 4,207.80 : x
  2. Step 2: Convert to fraction form
    11,604.72/17,406.26 = 4,207.80/x
  3. Step 3: Cross multiply
    11,604.72x = 17,406.26 × 4,207.80
  4. Step 4: Simplify right side
    11,604.72x = 73,242,060.83
  5. Step 5: Solve for x
    x = 73,242,060.83/11,604.72
  6. Step 6: Final answer
    x = 6,311.40

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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.