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Finding the Fourth Proportional to 11,912.83, 16,438.54 and 6,607.53

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Solution

The fourth proportional to 11,912.83, 16,438.54 and 6,607.53 is: 9,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.83 : 16,438.54 = 6,607.53 : x
  2. Step 2: Convert to fraction form
    11,912.83/16,438.54 = 6,607.53/x
  3. Step 3: Cross multiply
    11,912.83x = 16,438.54 × 6,607.53
  4. Step 4: Simplify right side
    11,912.83x = 108,618,146.21
  5. Step 5: Solve for x
    x = 108,618,146.21/11,912.83
  6. Step 6: Final answer
    x = 9,117.75

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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.