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Finding the Fourth Proportional to 11,987.80, 17,980.56 and 4,196.20

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Solution

The fourth proportional to 11,987.80, 17,980.56 and 4,196.20 is: 6,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.80 : 17,980.56 = 4,196.20 : x
  2. Step 2: Convert to fraction form
    11,987.80/17,980.56 = 4,196.20/x
  3. Step 3: Cross multiply
    11,987.80x = 17,980.56 × 4,196.20
  4. Step 4: Simplify right side
    11,987.80x = 75,450,025.87
  5. Step 5: Solve for x
    x = 75,450,025.87/11,987.80
  6. Step 6: Final answer
    x = 6,293.90

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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.