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Finding the Fourth Proportional to 6,511.55, 9,765.29 and 2,351.02

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Solution

The fourth proportional to 6,511.55, 9,765.29 and 2,351.02 is: 3,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.55 : 9,765.29 = 2,351.02 : x
  2. Step 2: Convert to fraction form
    6,511.55/9,765.29 = 2,351.02/x
  3. Step 3: Cross multiply
    6,511.55x = 9,765.29 × 2,351.02
  4. Step 4: Simplify right side
    6,511.55x = 22,958,373.56
  5. Step 5: Solve for x
    x = 22,958,373.56/6,511.55
  6. Step 6: Final answer
    x = 3,525.79

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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.