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Finding the Fourth Proportional to 8,138.34, 12,205.71 and 2,295.54

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Solution

The fourth proportional to 8,138.34, 12,205.71 and 2,295.54 is: 3,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.34 : 12,205.71 = 2,295.54 : x
  2. Step 2: Convert to fraction form
    8,138.34/12,205.71 = 2,295.54/x
  3. Step 3: Cross multiply
    8,138.34x = 12,205.71 × 2,295.54
  4. Step 4: Simplify right side
    8,138.34x = 28,018,695.53
  5. Step 5: Solve for x
    x = 28,018,695.53/8,138.34
  6. Step 6: Final answer
    x = 3,442.80

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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.