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Finding the Fourth Proportional to 12,032.56, 16,604.64 and 6,728

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Solution

The fourth proportional to 12,032.56, 16,604.64 and 6,728 is: 9,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.56 : 16,604.64 = 6,728 : x
  2. Step 2: Convert to fraction form
    12,032.56/16,604.64 = 6,728/x
  3. Step 3: Cross multiply
    12,032.56x = 16,604.64 × 6,728
  4. Step 4: Simplify right side
    12,032.56x = 111,716,017.92
  5. Step 5: Solve for x
    x = 111,716,017.92/12,032.56
  6. Step 6: Final answer
    x = 9,284.48

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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.