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Finding the Fourth Proportional to 8,235.12, 12,350.47 and 2,311.65

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Solution

The fourth proportional to 8,235.12, 12,350.47 and 2,311.65 is: 3,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.12 : 12,350.47 = 2,311.65 : x
  2. Step 2: Convert to fraction form
    8,235.12/12,350.47 = 2,311.65/x
  3. Step 3: Cross multiply
    8,235.12x = 12,350.47 × 2,311.65
  4. Step 4: Simplify right side
    8,235.12x = 28,549,963.98
  5. Step 5: Solve for x
    x = 28,549,963.98/8,235.12
  6. Step 6: Final answer
    x = 3,466.85

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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.