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Finding the Fourth Proportional to 8,638.50, 11,922.57 and 6,538.98

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Solution

The fourth proportional to 8,638.50, 11,922.57 and 6,538.98 is: 9,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.50 : 11,922.57 = 6,538.98 : x
  2. Step 2: Convert to fraction form
    8,638.50/11,922.57 = 6,538.98/x
  3. Step 3: Cross multiply
    8,638.50x = 11,922.57 × 6,538.98
  4. Step 4: Simplify right side
    8,638.50x = 77,961,446.78
  5. Step 5: Solve for x
    x = 77,961,446.78/8,638.50
  6. Step 6: Final answer
    x = 9,024.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.