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Finding the Fourth Proportional to 7,189.22, 10,783.82 and 2,259.24

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Solution

The fourth proportional to 7,189.22, 10,783.82 and 2,259.24 is: 3,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.22 : 10,783.82 = 2,259.24 : x
  2. Step 2: Convert to fraction form
    7,189.22/10,783.82 = 2,259.24/x
  3. Step 3: Cross multiply
    7,189.22x = 10,783.82 × 2,259.24
  4. Step 4: Simplify right side
    7,189.22x = 24,363,237.50
  5. Step 5: Solve for x
    x = 24,363,237.50/7,189.22
  6. Step 6: Final answer
    x = 3,388.86

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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.