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Finding the Fourth Proportional to 8,679.68, 11,976.36 and 5,144

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Solution

The fourth proportional to 8,679.68, 11,976.36 and 5,144 is: 7,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679.68 : 11,976.36 = 5,144 : x
  2. Step 2: Convert to fraction form
    8,679.68/11,976.36 = 5,144/x
  3. Step 3: Cross multiply
    8,679.68x = 11,976.36 × 5,144
  4. Step 4: Simplify right side
    8,679.68x = 61,606,395.84
  5. Step 5: Solve for x
    x = 61,606,395.84/8,679.68
  6. Step 6: Final answer
    x = 7,097.77

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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.