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Finding the Fourth Proportional to 11,942.72, 16,478.54 and 6,905.10

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Solution

The fourth proportional to 11,942.72, 16,478.54 and 6,905.10 is: 9,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.72 : 16,478.54 = 6,905.10 : x
  2. Step 2: Convert to fraction form
    11,942.72/16,478.54 = 6,905.10/x
  3. Step 3: Cross multiply
    11,942.72x = 16,478.54 × 6,905.10
  4. Step 4: Simplify right side
    11,942.72x = 113,785,966.55
  5. Step 5: Solve for x
    x = 113,785,966.55/11,942.72
  6. Step 6: Final answer
    x = 9,527.65

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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.