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Finding the Fourth Proportional to 8,499.26, 12,735.90 and 5,715.63

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Solution

The fourth proportional to 8,499.26, 12,735.90 and 5,715.63 is: 8,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.26 : 12,735.90 = 5,715.63 : x
  2. Step 2: Convert to fraction form
    8,499.26/12,735.90 = 5,715.63/x
  3. Step 3: Cross multiply
    8,499.26x = 12,735.90 × 5,715.63
  4. Step 4: Simplify right side
    8,499.26x = 72,793,692.12
  5. Step 5: Solve for x
    x = 72,793,692.12/8,499.26
  6. Step 6: Final answer
    x = 8,564.71

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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.