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Finding the Fourth Proportional to 7,539.66, 11,316.42 and 3,844.50

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Solution

The fourth proportional to 7,539.66, 11,316.42 and 3,844.50 is: 5,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.66 : 11,316.42 = 3,844.50 : x
  2. Step 2: Convert to fraction form
    7,539.66/11,316.42 = 3,844.50/x
  3. Step 3: Cross multiply
    7,539.66x = 11,316.42 × 3,844.50
  4. Step 4: Simplify right side
    7,539.66x = 43,505,976.69
  5. Step 5: Solve for x
    x = 43,505,976.69/7,539.66
  6. Step 6: Final answer
    x = 5,770.28

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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.