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Finding the Fourth Proportional to 8,234.95, 12,352.56 and 5,773.63

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Solution

The fourth proportional to 8,234.95, 12,352.56 and 5,773.63 is: 8,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.95 : 12,352.56 = 5,773.63 : x
  2. Step 2: Convert to fraction form
    8,234.95/12,352.56 = 5,773.63/x
  3. Step 3: Cross multiply
    8,234.95x = 12,352.56 × 5,773.63
  4. Step 4: Simplify right side
    8,234.95x = 71,319,110.99
  5. Step 5: Solve for x
    x = 71,319,110.99/8,234.95
  6. Step 6: Final answer
    x = 8,660.54

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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.