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Finding the Fourth Proportional to 7,960.91, 11,924.94 and 4,664.00

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Solution

The fourth proportional to 7,960.91, 11,924.94 and 4,664.00 is: 6,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.91 : 11,924.94 = 4,664.00 : x
  2. Step 2: Convert to fraction form
    7,960.91/11,924.94 = 4,664.00/x
  3. Step 3: Cross multiply
    7,960.91x = 11,924.94 × 4,664.00
  4. Step 4: Simplify right side
    7,960.91x = 55,617,860.54
  5. Step 5: Solve for x
    x = 55,617,860.54/7,960.91
  6. Step 6: Final answer
    x = 6,986.37

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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.