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Finding the Fourth Proportional to 8,416.02, 12,633.25 and 3,489.12

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Solution

The fourth proportional to 8,416.02, 12,633.25 and 3,489.12 is: 5,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.02 : 12,633.25 = 3,489.12 : x
  2. Step 2: Convert to fraction form
    8,416.02/12,633.25 = 3,489.12/x
  3. Step 3: Cross multiply
    8,416.02x = 12,633.25 × 3,489.12
  4. Step 4: Simplify right side
    8,416.02x = 44,078,902.25
  5. Step 5: Solve for x
    x = 44,078,902.25/8,416.02
  6. Step 6: Final answer
    x = 5,237.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.