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Finding the Fourth Proportional to 7,838.43, 10,817.13 and 4,301.56

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Solution

The fourth proportional to 7,838.43, 10,817.13 and 4,301.56 is: 5,936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.43 : 10,817.13 = 4,301.56 : x
  2. Step 2: Convert to fraction form
    7,838.43/10,817.13 = 4,301.56/x
  3. Step 3: Cross multiply
    7,838.43x = 10,817.13 × 4,301.56
  4. Step 4: Simplify right side
    7,838.43x = 46,530,533.72
  5. Step 5: Solve for x
    x = 46,530,533.72/7,838.43
  6. Step 6: Final answer
    x = 5,936.21

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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.