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Finding the Fourth Proportional to 10,682.37, 14,738.42 and 6,205.25

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Solution

The fourth proportional to 10,682.37, 14,738.42 and 6,205.25 is: 8,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.37 : 14,738.42 = 6,205.25 : x
  2. Step 2: Convert to fraction form
    10,682.37/14,738.42 = 6,205.25/x
  3. Step 3: Cross multiply
    10,682.37x = 14,738.42 × 6,205.25
  4. Step 4: Simplify right side
    10,682.37x = 91,455,580.71
  5. Step 5: Solve for x
    x = 91,455,580.71/10,682.37
  6. Step 6: Final answer
    x = 8,561.36

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