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Finding the Fourth Proportional to 7,289.20, 10,933.80 and 2,024.20

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Solution

The fourth proportional to 7,289.20, 10,933.80 and 2,024.20 is: 3,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.20 : 10,933.80 = 2,024.20 : x
  2. Step 2: Convert to fraction form
    7,289.20/10,933.80 = 2,024.20/x
  3. Step 3: Cross multiply
    7,289.20x = 10,933.80 × 2,024.20
  4. Step 4: Simplify right side
    7,289.20x = 22,132,197.96
  5. Step 5: Solve for x
    x = 22,132,197.96/7,289.20
  6. Step 6: Final answer
    x = 3,036.30

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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.