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Finding the Fourth Proportional to 7,842.45, 11,755.43 and 2,576.10

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Solution

The fourth proportional to 7,842.45, 11,755.43 and 2,576.10 is: 3,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.45 : 11,755.43 = 2,576.10 : x
  2. Step 2: Convert to fraction form
    7,842.45/11,755.43 = 2,576.10/x
  3. Step 3: Cross multiply
    7,842.45x = 11,755.43 × 2,576.10
  4. Step 4: Simplify right side
    7,842.45x = 30,283,204.09
  5. Step 5: Solve for x
    x = 30,283,204.09/7,842.45
  6. Step 6: Final answer
    x = 3,861.45

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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.