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Finding the Fourth Proportional to 8,535.02, 12,797.71 and 3,534.57

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Solution

The fourth proportional to 8,535.02, 12,797.71 and 3,534.57 is: 5,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.02 : 12,797.71 = 3,534.57 : x
  2. Step 2: Convert to fraction form
    8,535.02/12,797.71 = 3,534.57/x
  3. Step 3: Cross multiply
    8,535.02x = 12,797.71 × 3,534.57
  4. Step 4: Simplify right side
    8,535.02x = 45,234,401.83
  5. Step 5: Solve for x
    x = 45,234,401.83/8,535.02
  6. Step 6: Final answer
    x = 5,299.86

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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.