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Finding the Fourth Proportional to 8,201.82, 12,302.58 and 2,358.90

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Solution

The fourth proportional to 8,201.82, 12,302.58 and 2,358.90 is: 3,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.82 : 12,302.58 = 2,358.90 : x
  2. Step 2: Convert to fraction form
    8,201.82/12,302.58 = 2,358.90/x
  3. Step 3: Cross multiply
    8,201.82x = 12,302.58 × 2,358.90
  4. Step 4: Simplify right side
    8,201.82x = 29,020,555.96
  5. Step 5: Solve for x
    x = 29,020,555.96/8,201.82
  6. Step 6: Final answer
    x = 3,538.31

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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.