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Finding the Fourth Proportional to 10,840.10, 16,235.85 and 8,896.10

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Solution

The fourth proportional to 10,840.10, 16,235.85 and 8,896.10 is: 13,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.10 : 16,235.85 = 8,896.10 : x
  2. Step 2: Convert to fraction form
    10,840.10/16,235.85 = 8,896.10/x
  3. Step 3: Cross multiply
    10,840.10x = 16,235.85 × 8,896.10
  4. Step 4: Simplify right side
    10,840.10x = 144,435,745.19
  5. Step 5: Solve for x
    x = 144,435,745.19/10,840.10
  6. Step 6: Final answer
    x = 13,324.21

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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.