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Finding the Fourth Proportional to 11,765.64, 17,650.62 and 4,375.20

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Solution

The fourth proportional to 11,765.64, 17,650.62 and 4,375.20 is: 6,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.64 : 17,650.62 = 4,375.20 : x
  2. Step 2: Convert to fraction form
    11,765.64/17,650.62 = 4,375.20/x
  3. Step 3: Cross multiply
    11,765.64x = 17,650.62 × 4,375.20
  4. Step 4: Simplify right side
    11,765.64x = 77,224,992.62
  5. Step 5: Solve for x
    x = 77,224,992.62/11,765.64
  6. Step 6: Final answer
    x = 6,563.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.