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Finding the Fourth Proportional to 8,085.42, 12,128.94 and 3,642.84

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Solution

The fourth proportional to 8,085.42, 12,128.94 and 3,642.84 is: 5,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.42 : 12,128.94 = 3,642.84 : x
  2. Step 2: Convert to fraction form
    8,085.42/12,128.94 = 3,642.84/x
  3. Step 3: Cross multiply
    8,085.42x = 12,128.94 × 3,642.84
  4. Step 4: Simplify right side
    8,085.42x = 44,183,787.79
  5. Step 5: Solve for x
    x = 44,183,787.79/8,085.42
  6. Step 6: Final answer
    x = 5,464.62

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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.