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Finding the Fourth Proportional to 10,745.10, 16,129.80 and 8,290.80

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Solution

The fourth proportional to 10,745.10, 16,129.80 and 8,290.80 is: 12,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.10 : 16,129.80 = 8,290.80 : x
  2. Step 2: Convert to fraction form
    10,745.10/16,129.80 = 8,290.80/x
  3. Step 3: Cross multiply
    10,745.10x = 16,129.80 × 8,290.80
  4. Step 4: Simplify right side
    10,745.10x = 133,728,945.84
  5. Step 5: Solve for x
    x = 133,728,945.84/10,745.10
  6. Step 6: Final answer
    x = 12,445.57

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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.