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Finding the Fourth Proportional to 8,201.64, 12,302.36 and 2,358.30

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Solution

The fourth proportional to 8,201.64, 12,302.36 and 2,358.30 is: 3,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.64 : 12,302.36 = 2,358.30 : x
  2. Step 2: Convert to fraction form
    8,201.64/12,302.36 = 2,358.30/x
  3. Step 3: Cross multiply
    8,201.64x = 12,302.36 × 2,358.30
  4. Step 4: Simplify right side
    8,201.64x = 29,012,655.59
  5. Step 5: Solve for x
    x = 29,012,655.59/8,201.64
  6. Step 6: Final answer
    x = 3,537.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.