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Finding the Fourth Proportional to 8,201.80, 12,303.30 and 2,358.46

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Solution

The fourth proportional to 8,201.80, 12,303.30 and 2,358.46 is: 3,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.80 : 12,303.30 = 2,358.46 : x
  2. Step 2: Convert to fraction form
    8,201.80/12,303.30 = 2,358.46/x
  3. Step 3: Cross multiply
    8,201.80x = 12,303.30 × 2,358.46
  4. Step 4: Simplify right side
    8,201.80x = 29,016,840.92
  5. Step 5: Solve for x
    x = 29,016,840.92/8,201.80
  6. Step 6: Final answer
    x = 3,537.86

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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.