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Finding the Fourth Proportional to 8,505.26, 12,752.92 and 5,697.33

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Solution

The fourth proportional to 8,505.26, 12,752.92 and 5,697.33 is: 8,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.26 : 12,752.92 = 5,697.33 : x
  2. Step 2: Convert to fraction form
    8,505.26/12,752.92 = 5,697.33/x
  3. Step 3: Cross multiply
    8,505.26x = 12,752.92 × 5,697.33
  4. Step 4: Simplify right side
    8,505.26x = 72,657,593.70
  5. Step 5: Solve for x
    x = 72,657,593.70/8,505.26
  6. Step 6: Final answer
    x = 8,542.67

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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.