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Finding the Fourth Proportional to 8,506.81, 12,745.63 and 6,757.21

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Solution

The fourth proportional to 8,506.81, 12,745.63 and 6,757.21 is: 10,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.81 : 12,745.63 = 6,757.21 : x
  2. Step 2: Convert to fraction form
    8,506.81/12,745.63 = 6,757.21/x
  3. Step 3: Cross multiply
    8,506.81x = 12,745.63 × 6,757.21
  4. Step 4: Simplify right side
    8,506.81x = 86,124,898.49
  5. Step 5: Solve for x
    x = 86,124,898.49/8,506.81
  6. Step 6: Final answer
    x = 10,124.23

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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.