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Finding the Fourth Proportional to 8,095.75, 12,143.72 and 2,830.55

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Solution

The fourth proportional to 8,095.75, 12,143.72 and 2,830.55 is: 4,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.75 : 12,143.72 = 2,830.55 : x
  2. Step 2: Convert to fraction form
    8,095.75/12,143.72 = 2,830.55/x
  3. Step 3: Cross multiply
    8,095.75x = 12,143.72 × 2,830.55
  4. Step 4: Simplify right side
    8,095.75x = 34,373,353.00
  5. Step 5: Solve for x
    x = 34,373,353.00/8,095.75
  6. Step 6: Final answer
    x = 4,245.85

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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.