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Finding the Fourth Proportional to 8,702.81, 13,037.78 and 6,745.43

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Solution

The fourth proportional to 8,702.81, 13,037.78 and 6,745.43 is: 10,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.81 : 13,037.78 = 6,745.43 : x
  2. Step 2: Convert to fraction form
    8,702.81/13,037.78 = 6,745.43/x
  3. Step 3: Cross multiply
    8,702.81x = 13,037.78 × 6,745.43
  4. Step 4: Simplify right side
    8,702.81x = 87,945,398.62
  5. Step 5: Solve for x
    x = 87,945,398.62/8,702.81
  6. Step 6: Final answer
    x = 10,105.40

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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.