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Finding the Fourth Proportional to 7,638.80, 11,462.62 and 4,128.88

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Solution

The fourth proportional to 7,638.80, 11,462.62 and 4,128.88 is: 6,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.80 : 11,462.62 = 4,128.88 : x
  2. Step 2: Convert to fraction form
    7,638.80/11,462.62 = 4,128.88/x
  3. Step 3: Cross multiply
    7,638.80x = 11,462.62 × 4,128.88
  4. Step 4: Simplify right side
    7,638.80x = 47,327,782.47
  5. Step 5: Solve for x
    x = 47,327,782.47/7,638.80
  6. Step 6: Final answer
    x = 6,195.71

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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.