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Finding the Fourth Proportional to 6,771.54, 10,156.66 and 2,090.30

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Solution

The fourth proportional to 6,771.54, 10,156.66 and 2,090.30 is: 3,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.54 : 10,156.66 = 2,090.30 : x
  2. Step 2: Convert to fraction form
    6,771.54/10,156.66 = 2,090.30/x
  3. Step 3: Cross multiply
    6,771.54x = 10,156.66 × 2,090.30
  4. Step 4: Simplify right side
    6,771.54x = 21,230,466.40
  5. Step 5: Solve for x
    x = 21,230,466.40/6,771.54
  6. Step 6: Final answer
    x = 3,135.25

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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.