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Finding the Fourth Proportional to 7,205.90, 10,794.86 and 4,733.21

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Solution

The fourth proportional to 7,205.90, 10,794.86 and 4,733.21 is: 7,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.90 : 10,794.86 = 4,733.21 : x
  2. Step 2: Convert to fraction form
    7,205.90/10,794.86 = 4,733.21/x
  3. Step 3: Cross multiply
    7,205.90x = 10,794.86 × 4,733.21
  4. Step 4: Simplify right side
    7,205.90x = 51,094,360.37
  5. Step 5: Solve for x
    x = 51,094,360.37/7,205.90
  6. Step 6: Final answer
    x = 7,090.63

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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.