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Finding the Fourth Proportional to 8,233.83, 12,353.06 and 3,306.93

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Solution

The fourth proportional to 8,233.83, 12,353.06 and 3,306.93 is: 4,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.83 : 12,353.06 = 3,306.93 : x
  2. Step 2: Convert to fraction form
    8,233.83/12,353.06 = 3,306.93/x
  3. Step 3: Cross multiply
    8,233.83x = 12,353.06 × 3,306.93
  4. Step 4: Simplify right side
    8,233.83x = 40,850,704.71
  5. Step 5: Solve for x
    x = 40,850,704.71/8,233.83
  6. Step 6: Final answer
    x = 4,961.32

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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.