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Finding the Fourth Proportional to 8,239.63, 11,370.72 and 4,462.84

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Solution

The fourth proportional to 8,239.63, 11,370.72 and 4,462.84 is: 6,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.63 : 11,370.72 = 4,462.84 : x
  2. Step 2: Convert to fraction form
    8,239.63/11,370.72 = 4,462.84/x
  3. Step 3: Cross multiply
    8,239.63x = 11,370.72 × 4,462.84
  4. Step 4: Simplify right side
    8,239.63x = 50,745,704.04
  5. Step 5: Solve for x
    x = 50,745,704.04/8,239.63
  6. Step 6: Final answer
    x = 6,158.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.