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Finding the Fourth Proportional to 6,765.40, 10,131.88 and 3,985.48

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Solution

The fourth proportional to 6,765.40, 10,131.88 and 3,985.48 is: 5,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.40 : 10,131.88 = 3,985.48 : x
  2. Step 2: Convert to fraction form
    6,765.40/10,131.88 = 3,985.48/x
  3. Step 3: Cross multiply
    6,765.40x = 10,131.88 × 3,985.48
  4. Step 4: Simplify right side
    6,765.40x = 40,380,405.10
  5. Step 5: Solve for x
    x = 40,380,405.10/6,765.40
  6. Step 6: Final answer
    x = 5,968.66

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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.