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Finding the Fourth Proportional to 8,311.61, 12,462.75 and 2,763.47

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Solution

The fourth proportional to 8,311.61, 12,462.75 and 2,763.47 is: 4,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.61 : 12,462.75 = 2,763.47 : x
  2. Step 2: Convert to fraction form
    8,311.61/12,462.75 = 2,763.47/x
  3. Step 3: Cross multiply
    8,311.61x = 12,462.75 × 2,763.47
  4. Step 4: Simplify right side
    8,311.61x = 34,440,373.43
  5. Step 5: Solve for x
    x = 34,440,373.43/8,311.61
  6. Step 6: Final answer
    x = 4,143.65

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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.