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Finding the Fourth Proportional to 6,810.35, 10,199.07 and 3,879.77

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Solution

The fourth proportional to 6,810.35, 10,199.07 and 3,879.77 is: 5,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.35 : 10,199.07 = 3,879.77 : x
  2. Step 2: Convert to fraction form
    6,810.35/10,199.07 = 3,879.77/x
  3. Step 3: Cross multiply
    6,810.35x = 10,199.07 × 3,879.77
  4. Step 4: Simplify right side
    6,810.35x = 39,569,994.82
  5. Step 5: Solve for x
    x = 39,569,994.82/6,810.35
  6. Step 6: Final answer
    x = 5,810.28

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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.