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Finding the Fourth Proportional to 7,749.60, 11,622.64 and 2,202.82

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Solution

The fourth proportional to 7,749.60, 11,622.64 and 2,202.82 is: 3,303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.60 : 11,622.64 = 2,202.82 : x
  2. Step 2: Convert to fraction form
    7,749.60/11,622.64 = 2,202.82/x
  3. Step 3: Cross multiply
    7,749.60x = 11,622.64 × 2,202.82
  4. Step 4: Simplify right side
    7,749.60x = 25,602,583.84
  5. Step 5: Solve for x
    x = 25,602,583.84/7,749.60
  6. Step 6: Final answer
    x = 3,303.73

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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.