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Finding the Fourth Proportional to 11,765.67, 17,648.28 and 4,745.54

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Solution

The fourth proportional to 11,765.67, 17,648.28 and 4,745.54 is: 7,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.67 : 17,648.28 = 4,745.54 : x
  2. Step 2: Convert to fraction form
    11,765.67/17,648.28 = 4,745.54/x
  3. Step 3: Cross multiply
    11,765.67x = 17,648.28 × 4,745.54
  4. Step 4: Simplify right side
    11,765.67x = 83,750,530.43
  5. Step 5: Solve for x
    x = 83,750,530.43/11,765.67
  6. Step 6: Final answer
    x = 7,118.21

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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.