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Finding the Fourth Proportional to 7,769.60, 11,652.64 and 2,222.88

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Solution

The fourth proportional to 7,769.60, 11,652.64 and 2,222.88 is: 3,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.60 : 11,652.64 = 2,222.88 : x
  2. Step 2: Convert to fraction form
    7,769.60/11,652.64 = 2,222.88/x
  3. Step 3: Cross multiply
    7,769.60x = 11,652.64 × 2,222.88
  4. Step 4: Simplify right side
    7,769.60x = 25,902,420.40
  5. Step 5: Solve for x
    x = 25,902,420.40/7,769.60
  6. Step 6: Final answer
    x = 3,333.82

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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.