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Finding the Fourth Proportional to 7,544.37, 11,322.72 and 3,847.68

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Solution

The fourth proportional to 7,544.37, 11,322.72 and 3,847.68 is: 5,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.37 : 11,322.72 = 3,847.68 : x
  2. Step 2: Convert to fraction form
    7,544.37/11,322.72 = 3,847.68/x
  3. Step 3: Cross multiply
    7,544.37x = 11,322.72 × 3,847.68
  4. Step 4: Simplify right side
    7,544.37x = 43,566,203.29
  5. Step 5: Solve for x
    x = 43,566,203.29/7,544.37
  6. Step 6: Final answer
    x = 5,774.66

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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.