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Finding the Fourth Proportional to 7,857.39, 10,832.03 and 6,249.95

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Solution

The fourth proportional to 7,857.39, 10,832.03 and 6,249.95 is: 8,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.39 : 10,832.03 = 6,249.95 : x
  2. Step 2: Convert to fraction form
    7,857.39/10,832.03 = 6,249.95/x
  3. Step 3: Cross multiply
    7,857.39x = 10,832.03 × 6,249.95
  4. Step 4: Simplify right side
    7,857.39x = 67,699,560.49
  5. Step 5: Solve for x
    x = 67,699,560.49/7,857.39
  6. Step 6: Final answer
    x = 8,616.04

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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.