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Finding the Fourth Proportional to 10,404, 15,606 and 4,166.82

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Solution

The fourth proportional to 10,404, 15,606 and 4,166.82 is: 6,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404 : 15,606 = 4,166.82 : x
  2. Step 2: Convert to fraction form
    10,404/15,606 = 4,166.82/x
  3. Step 3: Cross multiply
    10,404x = 15,606 × 4,166.82
  4. Step 4: Simplify right side
    10,404x = 65,027,392.92
  5. Step 5: Solve for x
    x = 65,027,392.92/10,404
  6. Step 6: Final answer
    x = 6,250.23

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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.