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Finding the Fourth Proportional to 11,406.92, 17,110.86 and 3,615.56

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Solution

The fourth proportional to 11,406.92, 17,110.86 and 3,615.56 is: 5,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.92 : 17,110.86 = 3,615.56 : x
  2. Step 2: Convert to fraction form
    11,406.92/17,110.86 = 3,615.56/x
  3. Step 3: Cross multiply
    11,406.92x = 17,110.86 × 3,615.56
  4. Step 4: Simplify right side
    11,406.92x = 61,865,340.98
  5. Step 5: Solve for x
    x = 61,865,340.98/11,406.92
  6. Step 6: Final answer
    x = 5,423.49

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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.