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Finding the Fourth Proportional to 7,761.28, 10,709.94 and 5,408.50

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Solution

The fourth proportional to 7,761.28, 10,709.94 and 5,408.50 is: 7,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.28 : 10,709.94 = 5,408.50 : x
  2. Step 2: Convert to fraction form
    7,761.28/10,709.94 = 5,408.50/x
  3. Step 3: Cross multiply
    7,761.28x = 10,709.94 × 5,408.50
  4. Step 4: Simplify right side
    7,761.28x = 57,924,710.49
  5. Step 5: Solve for x
    x = 57,924,710.49/7,761.28
  6. Step 6: Final answer
    x = 7,463.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.