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Finding the Fourth Proportional to 11,605.46, 17,397.61 and 4,208.24

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Solution

The fourth proportional to 11,605.46, 17,397.61 and 4,208.24 is: 6,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.46 : 17,397.61 = 4,208.24 : x
  2. Step 2: Convert to fraction form
    11,605.46/17,397.61 = 4,208.24/x
  3. Step 3: Cross multiply
    11,605.46x = 17,397.61 × 4,208.24
  4. Step 4: Simplify right side
    11,605.46x = 73,213,220.80
  5. Step 5: Solve for x
    x = 73,213,220.80/11,605.46
  6. Step 6: Final answer
    x = 6,308.51

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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.