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Finding the Fourth Proportional to 7,384.60, 11,071.36 and 3,223.80

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Solution

The fourth proportional to 7,384.60, 11,071.36 and 3,223.80 is: 4,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.60 : 11,071.36 = 3,223.80 : x
  2. Step 2: Convert to fraction form
    7,384.60/11,071.36 = 3,223.80/x
  3. Step 3: Cross multiply
    7,384.60x = 11,071.36 × 3,223.80
  4. Step 4: Simplify right side
    7,384.60x = 35,691,850.37
  5. Step 5: Solve for x
    x = 35,691,850.37/7,384.60
  6. Step 6: Final answer
    x = 4,833.28

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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.