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Finding the Fourth Proportional to 8,234.80, 12,352.20 and 4,723.45

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Solution

The fourth proportional to 8,234.80, 12,352.20 and 4,723.45 is: 7,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.80 : 12,352.20 = 4,723.45 : x
  2. Step 2: Convert to fraction form
    8,234.80/12,352.20 = 4,723.45/x
  3. Step 3: Cross multiply
    8,234.80x = 12,352.20 × 4,723.45
  4. Step 4: Simplify right side
    8,234.80x = 58,344,999.09
  5. Step 5: Solve for x
    x = 58,344,999.09/8,234.80
  6. Step 6: Final answer
    x = 7,085.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.