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Finding the Fourth Proportional to 8,109.70, 11,191.38 and 4,383.70

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Solution

The fourth proportional to 8,109.70, 11,191.38 and 4,383.70 is: 6,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.70 : 11,191.38 = 4,383.70 : x
  2. Step 2: Convert to fraction form
    8,109.70/11,191.38 = 4,383.70/x
  3. Step 3: Cross multiply
    8,109.70x = 11,191.38 × 4,383.70
  4. Step 4: Simplify right side
    8,109.70x = 49,059,652.51
  5. Step 5: Solve for x
    x = 49,059,652.51/8,109.70
  6. Step 6: Final answer
    x = 6,049.50

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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.