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Finding the Fourth Proportional to 7,838.70, 10,817.44 and 4,301.84

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Solution

The fourth proportional to 7,838.70, 10,817.44 and 4,301.84 is: 5,936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.70 : 10,817.44 = 4,301.84 : x
  2. Step 2: Convert to fraction form
    7,838.70/10,817.44 = 4,301.84/x
  3. Step 3: Cross multiply
    7,838.70x = 10,817.44 × 4,301.84
  4. Step 4: Simplify right side
    7,838.70x = 46,534,896.09
  5. Step 5: Solve for x
    x = 46,534,896.09/7,838.70
  6. Step 6: Final answer
    x = 5,936.56

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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.