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Finding the Fourth Proportional to 12,032.96, 16,607.03 and 6,728.06

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Solution

The fourth proportional to 12,032.96, 16,607.03 and 6,728.06 is: 9,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.96 : 16,607.03 = 6,728.06 : x
  2. Step 2: Convert to fraction form
    12,032.96/16,607.03 = 6,728.06/x
  3. Step 3: Cross multiply
    12,032.96x = 16,607.03 × 6,728.06
  4. Step 4: Simplify right side
    12,032.96x = 111,733,102.14
  5. Step 5: Solve for x
    x = 111,733,102.14/12,032.96
  6. Step 6: Final answer
    x = 9,285.59

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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.