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Finding the Fourth Proportional to 7,189.25, 10,783.88 and 1,995.13

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Solution

The fourth proportional to 7,189.25, 10,783.88 and 1,995.13 is: 2,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.25 : 10,783.88 = 1,995.13 : x
  2. Step 2: Convert to fraction form
    7,189.25/10,783.88 = 1,995.13/x
  3. Step 3: Cross multiply
    7,189.25x = 10,783.88 × 1,995.13
  4. Step 4: Simplify right side
    7,189.25x = 21,515,242.50
  5. Step 5: Solve for x
    x = 21,515,242.50/7,189.25
  6. Step 6: Final answer
    x = 2,992.70

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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.