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Finding the Fourth Proportional to 8,038.95, 12,057.06 and 2,194.20

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Solution

The fourth proportional to 8,038.95, 12,057.06 and 2,194.20 is: 3,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.95 : 12,057.06 = 2,194.20 : x
  2. Step 2: Convert to fraction form
    8,038.95/12,057.06 = 2,194.20/x
  3. Step 3: Cross multiply
    8,038.95x = 12,057.06 × 2,194.20
  4. Step 4: Simplify right side
    8,038.95x = 26,455,601.05
  5. Step 5: Solve for x
    x = 26,455,601.05/8,038.95
  6. Step 6: Final answer
    x = 3,290.93

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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.