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Finding the Fourth Proportional to 10,825.35, 14,939.07 and 6,349.19

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Solution

The fourth proportional to 10,825.35, 14,939.07 and 6,349.19 is: 8,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.35 : 14,939.07 = 6,349.19 : x
  2. Step 2: Convert to fraction form
    10,825.35/14,939.07 = 6,349.19/x
  3. Step 3: Cross multiply
    10,825.35x = 14,939.07 × 6,349.19
  4. Step 4: Simplify right side
    10,825.35x = 94,850,895.35
  5. Step 5: Solve for x
    x = 94,850,895.35/10,825.35
  6. Step 6: Final answer
    x = 8,761.93

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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.