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Finding the Fourth Proportional to 11,600.52, 17,410 and 4,207.10

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Solution

The fourth proportional to 11,600.52, 17,410 and 4,207.10 is: 6,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.52 : 17,410 = 4,207.10 : x
  2. Step 2: Convert to fraction form
    11,600.52/17,410 = 4,207.10/x
  3. Step 3: Cross multiply
    11,600.52x = 17,410 × 4,207.10
  4. Step 4: Simplify right side
    11,600.52x = 73,245,611
  5. Step 5: Solve for x
    x = 73,245,611/11,600.52
  6. Step 6: Final answer
    x = 6,313.99

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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.