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Finding the Fourth Proportional to 7,468.32, 11,201.04 and 2,850.24

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Solution

The fourth proportional to 7,468.32, 11,201.04 and 2,850.24 is: 4,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.32 : 11,201.04 = 2,850.24 : x
  2. Step 2: Convert to fraction form
    7,468.32/11,201.04 = 2,850.24/x
  3. Step 3: Cross multiply
    7,468.32x = 11,201.04 × 2,850.24
  4. Step 4: Simplify right side
    7,468.32x = 31,925,652.25
  5. Step 5: Solve for x
    x = 31,925,652.25/7,468.32
  6. Step 6: Final answer
    x = 4,274.81

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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.