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Finding the Fourth Proportional to 7,987.26, 11,991.51 and 5,180

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Solution

The fourth proportional to 7,987.26, 11,991.51 and 5,180 is: 7,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.26 : 11,991.51 = 5,180 : x
  2. Step 2: Convert to fraction form
    7,987.26/11,991.51 = 5,180/x
  3. Step 3: Cross multiply
    7,987.26x = 11,991.51 × 5,180
  4. Step 4: Simplify right side
    7,987.26x = 62,116,021.80
  5. Step 5: Solve for x
    x = 62,116,021.80/7,987.26
  6. Step 6: Final answer
    x = 7,776.89

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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.