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Finding the Fourth Proportional to 11,717, 17,575.72 and 5,475.30

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Solution

The fourth proportional to 11,717, 17,575.72 and 5,475.30 is: 8,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717 : 17,575.72 = 5,475.30 : x
  2. Step 2: Convert to fraction form
    11,717/17,575.72 = 5,475.30/x
  3. Step 3: Cross multiply
    11,717x = 17,575.72 × 5,475.30
  4. Step 4: Simplify right side
    11,717x = 96,232,339.72
  5. Step 5: Solve for x
    x = 96,232,339.72/11,717
  6. Step 6: Final answer
    x = 8,213.05

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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.