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Finding the Fourth Proportional to 8,205.10, 11,313.68 and 6,745.68

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Solution

The fourth proportional to 8,205.10, 11,313.68 and 6,745.68 is: 9,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.10 : 11,313.68 = 6,745.68 : x
  2. Step 2: Convert to fraction form
    8,205.10/11,313.68 = 6,745.68/x
  3. Step 3: Cross multiply
    8,205.10x = 11,313.68 × 6,745.68
  4. Step 4: Simplify right side
    8,205.10x = 76,318,431.17
  5. Step 5: Solve for x
    x = 76,318,431.17/8,205.10
  6. Step 6: Final answer
    x = 9,301.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.