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Finding the Fourth Proportional to 6,858.78, 10,290.90 and 4,086.76

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Solution

The fourth proportional to 6,858.78, 10,290.90 and 4,086.76 is: 6,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.78 : 10,290.90 = 4,086.76 : x
  2. Step 2: Convert to fraction form
    6,858.78/10,290.90 = 4,086.76/x
  3. Step 3: Cross multiply
    6,858.78x = 10,290.90 × 4,086.76
  4. Step 4: Simplify right side
    6,858.78x = 42,056,438.48
  5. Step 5: Solve for x
    x = 42,056,438.48/6,858.78
  6. Step 6: Final answer
    x = 6,131.77

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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.