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Finding the Fourth Proportional to 8,238.57, 12,359.67 and 4,538.89

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Solution

The fourth proportional to 8,238.57, 12,359.67 and 4,538.89 is: 6,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.57 : 12,359.67 = 4,538.89 : x
  2. Step 2: Convert to fraction form
    8,238.57/12,359.67 = 4,538.89/x
  3. Step 3: Cross multiply
    8,238.57x = 12,359.67 × 4,538.89
  4. Step 4: Simplify right side
    8,238.57x = 56,099,215.04
  5. Step 5: Solve for x
    x = 56,099,215.04/8,238.57
  6. Step 6: Final answer
    x = 6,809.34

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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.