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Finding the Fourth Proportional to 8,444.88, 11,647.28 and 7,879

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Solution

The fourth proportional to 8,444.88, 11,647.28 and 7,879 is: 10,866.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.88 : 11,647.28 = 7,879 : x
  2. Step 2: Convert to fraction form
    8,444.88/11,647.28 = 7,879/x
  3. Step 3: Cross multiply
    8,444.88x = 11,647.28 × 7,879
  4. Step 4: Simplify right side
    8,444.88x = 91,768,919.12
  5. Step 5: Solve for x
    x = 91,768,919.12/8,444.88
  6. Step 6: Final answer
    x = 10,866.81

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