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Finding the Fourth Proportional to 8,138.30, 12,206.94 and 2,595.64

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Solution

The fourth proportional to 8,138.30, 12,206.94 and 2,595.64 is: 3,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.30 : 12,206.94 = 2,595.64 : x
  2. Step 2: Convert to fraction form
    8,138.30/12,206.94 = 2,595.64/x
  3. Step 3: Cross multiply
    8,138.30x = 12,206.94 × 2,595.64
  4. Step 4: Simplify right side
    8,138.30x = 31,684,821.74
  5. Step 5: Solve for x
    x = 31,684,821.74/8,138.30
  6. Step 6: Final answer
    x = 3,893.30

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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.