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Finding the Fourth Proportional to 7,684.36, 11,533.74 and 3,989.20

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Solution

The fourth proportional to 7,684.36, 11,533.74 and 3,989.20 is: 5,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.36 : 11,533.74 = 3,989.20 : x
  2. Step 2: Convert to fraction form
    7,684.36/11,533.74 = 3,989.20/x
  3. Step 3: Cross multiply
    7,684.36x = 11,533.74 × 3,989.20
  4. Step 4: Simplify right side
    7,684.36x = 46,010,395.61
  5. Step 5: Solve for x
    x = 46,010,395.61/7,684.36
  6. Step 6: Final answer
    x = 5,987.54

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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.