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Finding the Fourth Proportional to 6,853.77, 10,283.40 and 4,081.77

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Solution

The fourth proportional to 6,853.77, 10,283.40 and 4,081.77 is: 6,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.77 : 10,283.40 = 4,081.77 : x
  2. Step 2: Convert to fraction form
    6,853.77/10,283.40 = 4,081.77/x
  3. Step 3: Cross multiply
    6,853.77x = 10,283.40 × 4,081.77
  4. Step 4: Simplify right side
    6,853.77x = 41,974,473.62
  5. Step 5: Solve for x
    x = 41,974,473.62/6,853.77
  6. Step 6: Final answer
    x = 6,124.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.