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Finding the Fourth Proportional to 7,571.34, 11,356.88 and 3,408.40

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Solution

The fourth proportional to 7,571.34, 11,356.88 and 3,408.40 is: 5,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.34 : 11,356.88 = 3,408.40 : x
  2. Step 2: Convert to fraction form
    7,571.34/11,356.88 = 3,408.40/x
  3. Step 3: Cross multiply
    7,571.34x = 11,356.88 × 3,408.40
  4. Step 4: Simplify right side
    7,571.34x = 38,708,789.79
  5. Step 5: Solve for x
    x = 38,708,789.79/7,571.34
  6. Step 6: Final answer
    x = 5,112.54

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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.