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Finding the Fourth Proportional to 7,959.84, 11,924.94 and 4,006.44

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Solution

The fourth proportional to 7,959.84, 11,924.94 and 4,006.44 is: 6,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.84 : 11,924.94 = 4,006.44 : x
  2. Step 2: Convert to fraction form
    7,959.84/11,924.94 = 4,006.44/x
  3. Step 3: Cross multiply
    7,959.84x = 11,924.94 × 4,006.44
  4. Step 4: Simplify right side
    7,959.84x = 47,776,556.61
  5. Step 5: Solve for x
    x = 47,776,556.61/7,959.84
  6. Step 6: Final answer
    x = 6,002.20

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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.