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Finding the Fourth Proportional to 8,072.42, 12,107.70 and 2,806.53

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Solution

The fourth proportional to 8,072.42, 12,107.70 and 2,806.53 is: 4,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.42 : 12,107.70 = 2,806.53 : x
  2. Step 2: Convert to fraction form
    8,072.42/12,107.70 = 2,806.53/x
  3. Step 3: Cross multiply
    8,072.42x = 12,107.70 × 2,806.53
  4. Step 4: Simplify right side
    8,072.42x = 33,980,623.28
  5. Step 5: Solve for x
    x = 33,980,623.28/8,072.42
  6. Step 6: Final answer
    x = 4,209.47

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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.