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Finding the Fourth Proportional to 7,546.40, 11,319.60 and 5,213.60

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Solution

The fourth proportional to 7,546.40, 11,319.60 and 5,213.60 is: 7,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.40 : 11,319.60 = 5,213.60 : x
  2. Step 2: Convert to fraction form
    7,546.40/11,319.60 = 5,213.60/x
  3. Step 3: Cross multiply
    7,546.40x = 11,319.60 × 5,213.60
  4. Step 4: Simplify right side
    7,546.40x = 59,015,866.56
  5. Step 5: Solve for x
    x = 59,015,866.56/7,546.40
  6. Step 6: Final answer
    x = 7,820.40

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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.