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Finding the Fourth Proportional to 8,532.49, 11,767.03 and 5,847.61

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Solution

The fourth proportional to 8,532.49, 11,767.03 and 5,847.61 is: 8,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.49 : 11,767.03 = 5,847.61 : x
  2. Step 2: Convert to fraction form
    8,532.49/11,767.03 = 5,847.61/x
  3. Step 3: Cross multiply
    8,532.49x = 11,767.03 × 5,847.61
  4. Step 4: Simplify right side
    8,532.49x = 68,809,002.30
  5. Step 5: Solve for x
    x = 68,809,002.30/8,532.49
  6. Step 6: Final answer
    x = 8,064.35

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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.