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Finding the Fourth Proportional to 10,825.39, 14,939.01 and 5,857.39

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Solution

The fourth proportional to 10,825.39, 14,939.01 and 5,857.39 is: 8,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.39 : 14,939.01 = 5,857.39 : x
  2. Step 2: Convert to fraction form
    10,825.39/14,939.01 = 5,857.39/x
  3. Step 3: Cross multiply
    10,825.39x = 14,939.01 × 5,857.39
  4. Step 4: Simplify right side
    10,825.39x = 87,503,607.78
  5. Step 5: Solve for x
    x = 87,503,607.78/10,825.39
  6. Step 6: Final answer
    x = 8,083.18

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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.