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Finding the Fourth Proportional to 7,983.68, 11,963.21 and 5,055.84

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Solution

The fourth proportional to 7,983.68, 11,963.21 and 5,055.84 is: 7,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.68 : 11,963.21 = 5,055.84 : x
  2. Step 2: Convert to fraction form
    7,983.68/11,963.21 = 5,055.84/x
  3. Step 3: Cross multiply
    7,983.68x = 11,963.21 × 5,055.84
  4. Step 4: Simplify right side
    7,983.68x = 60,484,050.37
  5. Step 5: Solve for x
    x = 60,484,050.37/7,983.68
  6. Step 6: Final answer
    x = 7,575.97

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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.