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Finding the Fourth Proportional to 8,162.86, 12,235.88 and 3,230.50

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Solution

The fourth proportional to 8,162.86, 12,235.88 and 3,230.50 is: 4,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.86 : 12,235.88 = 3,230.50 : x
  2. Step 2: Convert to fraction form
    8,162.86/12,235.88 = 3,230.50/x
  3. Step 3: Cross multiply
    8,162.86x = 12,235.88 × 3,230.50
  4. Step 4: Simplify right side
    8,162.86x = 39,528,010.34
  5. Step 5: Solve for x
    x = 39,528,010.34/8,162.86
  6. Step 6: Final answer
    x = 4,842.42

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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.