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Finding the Fourth Proportional to 6,918.98, 10,380 and 1,988.24

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Solution

The fourth proportional to 6,918.98, 10,380 and 1,988.24 is: 2,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918.98 : 10,380 = 1,988.24 : x
  2. Step 2: Convert to fraction form
    6,918.98/10,380 = 1,988.24/x
  3. Step 3: Cross multiply
    6,918.98x = 10,380 × 1,988.24
  4. Step 4: Simplify right side
    6,918.98x = 20,637,879.30
  5. Step 5: Solve for x
    x = 20,637,879.30/6,918.98
  6. Step 6: Final answer
    x = 2,982.79

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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.