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Finding the Fourth Proportional to 8,538.09, 11,782.20 and 6,299.16

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Solution

The fourth proportional to 8,538.09, 11,782.20 and 6,299.16 is: 8,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.09 : 11,782.20 = 6,299.16 : x
  2. Step 2: Convert to fraction form
    8,538.09/11,782.20 = 6,299.16/x
  3. Step 3: Cross multiply
    8,538.09x = 11,782.20 × 6,299.16
  4. Step 4: Simplify right side
    8,538.09x = 74,217,962.95
  5. Step 5: Solve for x
    x = 74,217,962.95/8,538.09
  6. Step 6: Final answer
    x = 8,692.57

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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.