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Finding the Fourth Proportional to 11,765.80, 17,648.16 and 5,917.96

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Solution

The fourth proportional to 11,765.80, 17,648.16 and 5,917.96 is: 8,876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.80 : 17,648.16 = 5,917.96 : x
  2. Step 2: Convert to fraction form
    11,765.80/17,648.16 = 5,917.96/x
  3. Step 3: Cross multiply
    11,765.80x = 17,648.16 × 5,917.96
  4. Step 4: Simplify right side
    11,765.80x = 104,441,104.95
  5. Step 5: Solve for x
    x = 104,441,104.95/11,765.80
  6. Step 6: Final answer
    x = 8,876.67

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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.