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Finding the Fourth Proportional to 12,768.58, 17,619.38 and 7,987.60

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Solution

The fourth proportional to 12,768.58, 17,619.38 and 7,987.60 is: 11,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.58 : 17,619.38 = 7,987.60 : x
  2. Step 2: Convert to fraction form
    12,768.58/17,619.38 = 7,987.60/x
  3. Step 3: Cross multiply
    12,768.58x = 17,619.38 × 7,987.60
  4. Step 4: Simplify right side
    12,768.58x = 140,736,519.75
  5. Step 5: Solve for x
    x = 140,736,519.75/12,768.58
  6. Step 6: Final answer
    x = 11,022.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.