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Finding the Fourth Proportional to 7,705.20, 11,568.60 and 6,063.60

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Solution

The fourth proportional to 7,705.20, 11,568.60 and 6,063.60 is: 9,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.20 : 11,568.60 = 6,063.60 : x
  2. Step 2: Convert to fraction form
    7,705.20/11,568.60 = 6,063.60/x
  3. Step 3: Cross multiply
    7,705.20x = 11,568.60 × 6,063.60
  4. Step 4: Simplify right side
    7,705.20x = 70,147,362.96
  5. Step 5: Solve for x
    x = 70,147,362.96/7,705.20
  6. Step 6: Final answer
    x = 9,103.90

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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.