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Finding the Fourth Proportional to 7,638.54, 11,461.26 and 4,524.66

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Solution

The fourth proportional to 7,638.54, 11,461.26 and 4,524.66 is: 6,789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.54 : 11,461.26 = 4,524.66 : x
  2. Step 2: Convert to fraction form
    7,638.54/11,461.26 = 4,524.66/x
  3. Step 3: Cross multiply
    7,638.54x = 11,461.26 × 4,524.66
  4. Step 4: Simplify right side
    7,638.54x = 51,858,304.67
  5. Step 5: Solve for x
    x = 51,858,304.67/7,638.54
  6. Step 6: Final answer
    x = 6,789.03

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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.