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Finding the Fourth Proportional to 7,978.60, 11,976.54 and 5,896.36

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Solution

The fourth proportional to 7,978.60, 11,976.54 and 5,896.36 is: 8,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.60 : 11,976.54 = 5,896.36 : x
  2. Step 2: Convert to fraction form
    7,978.60/11,976.54 = 5,896.36/x
  3. Step 3: Cross multiply
    7,978.60x = 11,976.54 × 5,896.36
  4. Step 4: Simplify right side
    7,978.60x = 70,617,991.39
  5. Step 5: Solve for x
    x = 70,617,991.39/7,978.60
  6. Step 6: Final answer
    x = 8,850.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.