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Finding the Fourth Proportional to 8,735.50, 12,054.87 and 5,198.62

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Solution

The fourth proportional to 8,735.50, 12,054.87 and 5,198.62 is: 7,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.50 : 12,054.87 = 5,198.62 : x
  2. Step 2: Convert to fraction form
    8,735.50/12,054.87 = 5,198.62/x
  3. Step 3: Cross multiply
    8,735.50x = 12,054.87 × 5,198.62
  4. Step 4: Simplify right side
    8,735.50x = 62,668,688.28
  5. Step 5: Solve for x
    x = 62,668,688.28/8,735.50
  6. Step 6: Final answer
    x = 7,174.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.