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Finding the Fourth Proportional to 11,627.96, 17,438.87 and 5,052.62

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Solution

The fourth proportional to 11,627.96, 17,438.87 and 5,052.62 is: 7,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.96 : 17,438.87 = 5,052.62 : x
  2. Step 2: Convert to fraction form
    11,627.96/17,438.87 = 5,052.62/x
  3. Step 3: Cross multiply
    11,627.96x = 17,438.87 × 5,052.62
  4. Step 4: Simplify right side
    11,627.96x = 88,111,870.88
  5. Step 5: Solve for x
    x = 88,111,870.88/11,627.96
  6. Step 6: Final answer
    x = 7,577.59

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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.