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Finding the Fourth Proportional to 7,867.84, 10,846.83 and 5,739.16

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Solution

The fourth proportional to 7,867.84, 10,846.83 and 5,739.16 is: 7,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.84 : 10,846.83 = 5,739.16 : x
  2. Step 2: Convert to fraction form
    7,867.84/10,846.83 = 5,739.16/x
  3. Step 3: Cross multiply
    7,867.84x = 10,846.83 × 5,739.16
  4. Step 4: Simplify right side
    7,867.84x = 62,251,692.86
  5. Step 5: Solve for x
    x = 62,251,692.86/7,867.84
  6. Step 6: Final answer
    x = 7,912.17

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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.