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Finding the Fourth Proportional to 8,234.40, 12,351.60 and 4,945.80

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Solution

The fourth proportional to 8,234.40, 12,351.60 and 4,945.80 is: 7,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.40 : 12,351.60 = 4,945.80 : x
  2. Step 2: Convert to fraction form
    8,234.40/12,351.60 = 4,945.80/x
  3. Step 3: Cross multiply
    8,234.40x = 12,351.60 × 4,945.80
  4. Step 4: Simplify right side
    8,234.40x = 61,088,543.28
  5. Step 5: Solve for x
    x = 61,088,543.28/8,234.40
  6. Step 6: Final answer
    x = 7,418.70

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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.