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Finding the Fourth Proportional to 11,785.38, 16,263.23 and 6,749.34

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Solution

The fourth proportional to 11,785.38, 16,263.23 and 6,749.34 is: 9,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.38 : 16,263.23 = 6,749.34 : x
  2. Step 2: Convert to fraction form
    11,785.38/16,263.23 = 6,749.34/x
  3. Step 3: Cross multiply
    11,785.38x = 16,263.23 × 6,749.34
  4. Step 4: Simplify right side
    11,785.38x = 109,766,035.02
  5. Step 5: Solve for x
    x = 109,766,035.02/11,785.38
  6. Step 6: Final answer
    x = 9,313.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.