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Finding the Fourth Proportional to 10,035.84, 13,846.32 and 5,843.28

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Solution

The fourth proportional to 10,035.84, 13,846.32 and 5,843.28 is: 8,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.84 : 13,846.32 = 5,843.28 : x
  2. Step 2: Convert to fraction form
    10,035.84/13,846.32 = 5,843.28/x
  3. Step 3: Cross multiply
    10,035.84x = 13,846.32 × 5,843.28
  4. Step 4: Simplify right side
    10,035.84x = 80,907,924.73
  5. Step 5: Solve for x
    x = 80,907,924.73/10,035.84
  6. Step 6: Final answer
    x = 8,061.90

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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.