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Finding the Fourth Proportional to 8,137.82, 12,205.65 and 2,294.90

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Solution

The fourth proportional to 8,137.82, 12,205.65 and 2,294.90 is: 3,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.82 : 12,205.65 = 2,294.90 : x
  2. Step 2: Convert to fraction form
    8,137.82/12,205.65 = 2,294.90/x
  3. Step 3: Cross multiply
    8,137.82x = 12,205.65 × 2,294.90
  4. Step 4: Simplify right side
    8,137.82x = 28,010,746.19
  5. Step 5: Solve for x
    x = 28,010,746.19/8,137.82
  6. Step 6: Final answer
    x = 3,442.05

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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.