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Finding the Fourth Proportional to 7,380.75, 11,072.94 and 2,186.64

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Solution

The fourth proportional to 7,380.75, 11,072.94 and 2,186.64 is: 3,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.75 : 11,072.94 = 2,186.64 : x
  2. Step 2: Convert to fraction form
    7,380.75/11,072.94 = 2,186.64/x
  3. Step 3: Cross multiply
    7,380.75x = 11,072.94 × 2,186.64
  4. Step 4: Simplify right side
    7,380.75x = 24,212,533.52
  5. Step 5: Solve for x
    x = 24,212,533.52/7,380.75
  6. Step 6: Final answer
    x = 3,280.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.