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Finding the Fourth Proportional to 7,474.36, 11,213.16 and 2,280.64

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Solution

The fourth proportional to 7,474.36, 11,213.16 and 2,280.64 is: 3,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.36 : 11,213.16 = 2,280.64 : x
  2. Step 2: Convert to fraction form
    7,474.36/11,213.16 = 2,280.64/x
  3. Step 3: Cross multiply
    7,474.36x = 11,213.16 × 2,280.64
  4. Step 4: Simplify right side
    7,474.36x = 25,573,181.22
  5. Step 5: Solve for x
    x = 25,573,181.22/7,474.36
  6. Step 6: Final answer
    x = 3,421.45

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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.