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Finding the Fourth Proportional to 12,033.46, 16,606.47 and 6,728.62

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Solution

The fourth proportional to 12,033.46, 16,606.47 and 6,728.62 is: 9,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.46 : 16,606.47 = 6,728.62 : x
  2. Step 2: Convert to fraction form
    12,033.46/16,606.47 = 6,728.62/x
  3. Step 3: Cross multiply
    12,033.46x = 16,606.47 × 6,728.62
  4. Step 4: Simplify right side
    12,033.46x = 111,738,626.17
  5. Step 5: Solve for x
    x = 111,738,626.17/12,033.46
  6. Step 6: Final answer
    x = 9,285.66

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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.