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Finding the Fourth Proportional to 7,770.06, 11,655 and 2,837.94

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Solution

The fourth proportional to 7,770.06, 11,655 and 2,837.94 is: 4,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.06 : 11,655 = 2,837.94 : x
  2. Step 2: Convert to fraction form
    7,770.06/11,655 = 2,837.94/x
  3. Step 3: Cross multiply
    7,770.06x = 11,655 × 2,837.94
  4. Step 4: Simplify right side
    7,770.06x = 33,076,190.70
  5. Step 5: Solve for x
    x = 33,076,190.70/7,770.06
  6. Step 6: Final answer
    x = 4,256.88

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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.