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Finding the Fourth Proportional to 8,438.72, 11,644.74 and 4,853.50

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Solution

The fourth proportional to 8,438.72, 11,644.74 and 4,853.50 is: 6,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.72 : 11,644.74 = 4,853.50 : x
  2. Step 2: Convert to fraction form
    8,438.72/11,644.74 = 4,853.50/x
  3. Step 3: Cross multiply
    8,438.72x = 11,644.74 × 4,853.50
  4. Step 4: Simplify right side
    8,438.72x = 56,517,745.59
  5. Step 5: Solve for x
    x = 56,517,745.59/8,438.72
  6. Step 6: Final answer
    x = 6,697.43

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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.