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Finding the Fourth Proportional to 10,105.84, 13,942.36 and 6,124.08

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Solution

The fourth proportional to 10,105.84, 13,942.36 and 6,124.08 is: 8,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.84 : 13,942.36 = 6,124.08 : x
  2. Step 2: Convert to fraction form
    10,105.84/13,942.36 = 6,124.08/x
  3. Step 3: Cross multiply
    10,105.84x = 13,942.36 × 6,124.08
  4. Step 4: Simplify right side
    10,105.84x = 85,384,128.03
  5. Step 5: Solve for x
    x = 85,384,128.03/10,105.84
  6. Step 6: Final answer
    x = 8,448.99

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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.