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Finding the Fourth Proportional to 7,367.84, 11,027.64 and 4,031.06

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Solution

The fourth proportional to 7,367.84, 11,027.64 and 4,031.06 is: 6,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.84 : 11,027.64 = 4,031.06 : x
  2. Step 2: Convert to fraction form
    7,367.84/11,027.64 = 4,031.06/x
  3. Step 3: Cross multiply
    7,367.84x = 11,027.64 × 4,031.06
  4. Step 4: Simplify right side
    7,367.84x = 44,453,078.50
  5. Step 5: Solve for x
    x = 44,453,078.50/7,367.84
  6. Step 6: Final answer
    x = 6,033.39

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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.