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Finding the Fourth Proportional to 7,224.12, 10,824.84 and 4,300.83

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Solution

The fourth proportional to 7,224.12, 10,824.84 and 4,300.83 is: 6,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.12 : 10,824.84 = 4,300.83 : x
  2. Step 2: Convert to fraction form
    7,224.12/10,824.84 = 4,300.83/x
  3. Step 3: Cross multiply
    7,224.12x = 10,824.84 × 4,300.83
  4. Step 4: Simplify right side
    7,224.12x = 46,555,796.62
  5. Step 5: Solve for x
    x = 46,555,796.62/7,224.12
  6. Step 6: Final answer
    x = 6,444.49

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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.