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Finding the Fourth Proportional to 10,025.98, 13,834.29 and 6,673.79

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Solution

The fourth proportional to 10,025.98, 13,834.29 and 6,673.79 is: 9,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.98 : 13,834.29 = 6,673.79 : x
  2. Step 2: Convert to fraction form
    10,025.98/13,834.29 = 6,673.79/x
  3. Step 3: Cross multiply
    10,025.98x = 13,834.29 × 6,673.79
  4. Step 4: Simplify right side
    10,025.98x = 92,327,205.87
  5. Step 5: Solve for x
    x = 92,327,205.87/10,025.98
  6. Step 6: Final answer
    x = 9,208.80

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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.