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Finding the Fourth Proportional to 6,871.85, 10,307.78 and 3,408.65

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Solution

The fourth proportional to 6,871.85, 10,307.78 and 3,408.65 is: 5,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.85 : 10,307.78 = 3,408.65 : x
  2. Step 2: Convert to fraction form
    6,871.85/10,307.78 = 3,408.65/x
  3. Step 3: Cross multiply
    6,871.85x = 10,307.78 × 3,408.65
  4. Step 4: Simplify right side
    6,871.85x = 35,135,597.25
  5. Step 5: Solve for x
    x = 35,135,597.25/6,871.85
  6. Step 6: Final answer
    x = 5,112.98

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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.