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Finding the Fourth Proportional to 8,724.34, 12,039.46 and 4,745.49

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Solution

The fourth proportional to 8,724.34, 12,039.46 and 4,745.49 is: 6,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.34 : 12,039.46 = 4,745.49 : x
  2. Step 2: Convert to fraction form
    8,724.34/12,039.46 = 4,745.49/x
  3. Step 3: Cross multiply
    8,724.34x = 12,039.46 × 4,745.49
  4. Step 4: Simplify right side
    8,724.34x = 57,133,137.04
  5. Step 5: Solve for x
    x = 57,133,137.04/8,724.34
  6. Step 6: Final answer
    x = 6,548.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.