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Finding the Fourth Proportional to 8,103.75, 12,152.43 and 4,402.25

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Solution

The fourth proportional to 8,103.75, 12,152.43 and 4,402.25 is: 6,601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.75 : 12,152.43 = 4,402.25 : x
  2. Step 2: Convert to fraction form
    8,103.75/12,152.43 = 4,402.25/x
  3. Step 3: Cross multiply
    8,103.75x = 12,152.43 × 4,402.25
  4. Step 4: Simplify right side
    8,103.75x = 53,498,019.78
  5. Step 5: Solve for x
    x = 53,498,019.78/8,103.75
  6. Step 6: Final answer
    x = 6,601.64

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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.