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Finding the Fourth Proportional to 8,539.50, 12,802.52 and 3,273.50

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Solution

The fourth proportional to 8,539.50, 12,802.52 and 3,273.50 is: 4,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.50 : 12,802.52 = 3,273.50 : x
  2. Step 2: Convert to fraction form
    8,539.50/12,802.52 = 3,273.50/x
  3. Step 3: Cross multiply
    8,539.50x = 12,802.52 × 3,273.50
  4. Step 4: Simplify right side
    8,539.50x = 41,909,049.22
  5. Step 5: Solve for x
    x = 41,909,049.22/8,539.50
  6. Step 6: Final answer
    x = 4,907.67

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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.