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Finding the Fourth Proportional to 8,233.86, 12,354.52 and 3,491.32

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Solution

The fourth proportional to 8,233.86, 12,354.52 and 3,491.32 is: 5,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.86 : 12,354.52 = 3,491.32 : x
  2. Step 2: Convert to fraction form
    8,233.86/12,354.52 = 3,491.32/x
  3. Step 3: Cross multiply
    8,233.86x = 12,354.52 × 3,491.32
  4. Step 4: Simplify right side
    8,233.86x = 43,133,582.77
  5. Step 5: Solve for x
    x = 43,133,582.77/8,233.86
  6. Step 6: Final answer
    x = 5,238.56

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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.