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Finding the Fourth Proportional to 11,905.40, 16,428.84 and 6,600.16

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Solution

The fourth proportional to 11,905.40, 16,428.84 and 6,600.16 is: 9,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.40 : 16,428.84 = 6,600.16 : x
  2. Step 2: Convert to fraction form
    11,905.40/16,428.84 = 6,600.16/x
  3. Step 3: Cross multiply
    11,905.40x = 16,428.84 × 6,600.16
  4. Step 4: Simplify right side
    11,905.40x = 108,432,972.61
  5. Step 5: Solve for x
    x = 108,432,972.61/11,905.40
  6. Step 6: Final answer
    x = 9,107.88

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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.