Home / 27,975-41,962.68-7,198.68

Finding the Fourth Proportional to 27,975, 41,962.68 and 7,198.68

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Solution

The fourth proportional to 27,975, 41,962.68 and 7,198.68 is: 10,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,975 : 41,962.68 = 7,198.68 : x
  2. Step 2: Convert to fraction form
    27,975/41,962.68 = 7,198.68/x
  3. Step 3: Cross multiply
    27,975x = 41,962.68 × 7,198.68
  4. Step 4: Simplify right side
    27,975x = 302,075,905.26
  5. Step 5: Solve for x
    x = 302,075,905.26/27,975
  6. Step 6: Final answer
    x = 10,798.07

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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.