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Finding the Fourth Proportional to 7,522, 11,285.60 and 2,843.36

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Solution

The fourth proportional to 7,522, 11,285.60 and 2,843.36 is: 4,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522 : 11,285.60 = 2,843.36 : x
  2. Step 2: Convert to fraction form
    7,522/11,285.60 = 2,843.36/x
  3. Step 3: Cross multiply
    7,522x = 11,285.60 × 2,843.36
  4. Step 4: Simplify right side
    7,522x = 32,089,023.62
  5. Step 5: Solve for x
    x = 32,089,023.62/7,522
  6. Step 6: Final answer
    x = 4,266.02

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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.