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Finding the Fourth Proportional to 8,497.21, 12,745.44 and 4,337.11

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Solution

The fourth proportional to 8,497.21, 12,745.44 and 4,337.11 is: 6,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.21 : 12,745.44 = 4,337.11 : x
  2. Step 2: Convert to fraction form
    8,497.21/12,745.44 = 4,337.11/x
  3. Step 3: Cross multiply
    8,497.21x = 12,745.44 × 4,337.11
  4. Step 4: Simplify right side
    8,497.21x = 55,278,375.28
  5. Step 5: Solve for x
    x = 55,278,375.28/8,497.21
  6. Step 6: Final answer
    x = 6,505.47

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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.