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Finding the Fourth Proportional to 7,201.88, 10,803.23 and 2,008.16

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Solution

The fourth proportional to 7,201.88, 10,803.23 and 2,008.16 is: 3,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.88 : 10,803.23 = 2,008.16 : x
  2. Step 2: Convert to fraction form
    7,201.88/10,803.23 = 2,008.16/x
  3. Step 3: Cross multiply
    7,201.88x = 10,803.23 × 2,008.16
  4. Step 4: Simplify right side
    7,201.88x = 21,694,550.30
  5. Step 5: Solve for x
    x = 21,694,550.30/7,201.88
  6. Step 6: Final answer
    x = 3,012.35

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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.