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Finding the Fourth Proportional to 8,234.10, 12,355.20 and 4,726.80

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Solution

The fourth proportional to 8,234.10, 12,355.20 and 4,726.80 is: 7,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.10 : 12,355.20 = 4,726.80 : x
  2. Step 2: Convert to fraction form
    8,234.10/12,355.20 = 4,726.80/x
  3. Step 3: Cross multiply
    8,234.10x = 12,355.20 × 4,726.80
  4. Step 4: Simplify right side
    8,234.10x = 58,400,559.36
  5. Step 5: Solve for x
    x = 58,400,559.36/8,234.10
  6. Step 6: Final answer
    x = 7,092.52

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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.