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Finding the Fourth Proportional to 7,202.12, 10,803.11 and 3,914.46

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Solution

The fourth proportional to 7,202.12, 10,803.11 and 3,914.46 is: 5,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.12 : 10,803.11 = 3,914.46 : x
  2. Step 2: Convert to fraction form
    7,202.12/10,803.11 = 3,914.46/x
  3. Step 3: Cross multiply
    7,202.12x = 10,803.11 × 3,914.46
  4. Step 4: Simplify right side
    7,202.12x = 42,288,322.40
  5. Step 5: Solve for x
    x = 42,288,322.40/7,202.12
  6. Step 6: Final answer
    x = 5,871.65

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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.