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Finding the Fourth Proportional to 8,348.49, 12,504.28 and 5,709.74

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Solution

The fourth proportional to 8,348.49, 12,504.28 and 5,709.74 is: 8,551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.49 : 12,504.28 = 5,709.74 : x
  2. Step 2: Convert to fraction form
    8,348.49/12,504.28 = 5,709.74/x
  3. Step 3: Cross multiply
    8,348.49x = 12,504.28 × 5,709.74
  4. Step 4: Simplify right side
    8,348.49x = 71,396,187.69
  5. Step 5: Solve for x
    x = 71,396,187.69/8,348.49
  6. Step 6: Final answer
    x = 8,551.99

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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.