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Finding the Fourth Proportional to 8,283.63, 12,425.45 and 2,043.75

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Solution

The fourth proportional to 8,283.63, 12,425.45 and 2,043.75 is: 3,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.63 : 12,425.45 = 2,043.75 : x
  2. Step 2: Convert to fraction form
    8,283.63/12,425.45 = 2,043.75/x
  3. Step 3: Cross multiply
    8,283.63x = 12,425.45 × 2,043.75
  4. Step 4: Simplify right side
    8,283.63x = 25,394,491.42
  5. Step 5: Solve for x
    x = 25,394,491.42/8,283.63
  6. Step 6: Final answer
    x = 3,065.62

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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.