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Finding the Fourth Proportional to 11,638.01, 17,459.76 and 8,375.75

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Solution

The fourth proportional to 11,638.01, 17,459.76 and 8,375.75 is: 12,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.01 : 17,459.76 = 8,375.75 : x
  2. Step 2: Convert to fraction form
    11,638.01/17,459.76 = 8,375.75/x
  3. Step 3: Cross multiply
    11,638.01x = 17,459.76 × 8,375.75
  4. Step 4: Simplify right side
    11,638.01x = 146,238,584.82
  5. Step 5: Solve for x
    x = 146,238,584.82/11,638.01
  6. Step 6: Final answer
    x = 12,565.60

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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.