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Finding the Fourth Proportional to 7,858.50, 10,839.87 and 6,290.34

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Solution

The fourth proportional to 7,858.50, 10,839.87 and 6,290.34 is: 8,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.50 : 10,839.87 = 6,290.34 : x
  2. Step 2: Convert to fraction form
    7,858.50/10,839.87 = 6,290.34/x
  3. Step 3: Cross multiply
    7,858.50x = 10,839.87 × 6,290.34
  4. Step 4: Simplify right side
    7,858.50x = 68,186,467.86
  5. Step 5: Solve for x
    x = 68,186,467.86/7,858.50
  6. Step 6: Final answer
    x = 8,676.78

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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.