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Finding the Fourth Proportional to 8,200.75, 12,303.21 and 2,357.37

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Solution

The fourth proportional to 8,200.75, 12,303.21 and 2,357.37 is: 3,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.75 : 12,303.21 = 2,357.37 : x
  2. Step 2: Convert to fraction form
    8,200.75/12,303.21 = 2,357.37/x
  3. Step 3: Cross multiply
    8,200.75x = 12,303.21 × 2,357.37
  4. Step 4: Simplify right side
    8,200.75x = 29,003,218.16
  5. Step 5: Solve for x
    x = 29,003,218.16/8,200.75
  6. Step 6: Final answer
    x = 3,536.65

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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.