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Finding the Fourth Proportional to 7,146.37, 10,722.12 and 3,197.31

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Solution

The fourth proportional to 7,146.37, 10,722.12 and 3,197.31 is: 4,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.37 : 10,722.12 = 3,197.31 : x
  2. Step 2: Convert to fraction form
    7,146.37/10,722.12 = 3,197.31/x
  3. Step 3: Cross multiply
    7,146.37x = 10,722.12 × 3,197.31
  4. Step 4: Simplify right side
    7,146.37x = 34,281,941.50
  5. Step 5: Solve for x
    x = 34,281,941.50/7,146.37
  6. Step 6: Final answer
    x = 4,797.11

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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.