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Finding the Fourth Proportional to 7,321.38, 10,984.95 and 3,214.50

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Solution

The fourth proportional to 7,321.38, 10,984.95 and 3,214.50 is: 4,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.38 : 10,984.95 = 3,214.50 : x
  2. Step 2: Convert to fraction form
    7,321.38/10,984.95 = 3,214.50/x
  3. Step 3: Cross multiply
    7,321.38x = 10,984.95 × 3,214.50
  4. Step 4: Simplify right side
    7,321.38x = 35,311,121.78
  5. Step 5: Solve for x
    x = 35,311,121.78/7,321.38
  6. Step 6: Final answer
    x = 4,823.01

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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.