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Finding the Fourth Proportional to 11,093.92, 16,635.30 and 3,695.77

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Solution

The fourth proportional to 11,093.92, 16,635.30 and 3,695.77 is: 5,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.92 : 16,635.30 = 3,695.77 : x
  2. Step 2: Convert to fraction form
    11,093.92/16,635.30 = 3,695.77/x
  3. Step 3: Cross multiply
    11,093.92x = 16,635.30 × 3,695.77
  4. Step 4: Simplify right side
    11,093.92x = 61,480,242.68
  5. Step 5: Solve for x
    x = 61,480,242.68/11,093.92
  6. Step 6: Final answer
    x = 5,541.80

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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.