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Finding the Fourth Proportional to 7,189.50, 10,784.25 and 1,995.38

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Solution

The fourth proportional to 7,189.50, 10,784.25 and 1,995.38 is: 2,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.50 : 10,784.25 = 1,995.38 : x
  2. Step 2: Convert to fraction form
    7,189.50/10,784.25 = 1,995.38/x
  3. Step 3: Cross multiply
    7,189.50x = 10,784.25 × 1,995.38
  4. Step 4: Simplify right side
    7,189.50x = 21,518,622.84
  5. Step 5: Solve for x
    x = 21,518,622.84/7,189.50
  6. Step 6: Final answer
    x = 2,993.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.