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Finding the Fourth Proportional to 11,677.57, 17,516.35 and 2,912.46

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Solution

The fourth proportional to 11,677.57, 17,516.35 and 2,912.46 is: 4,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.57 : 17,516.35 = 2,912.46 : x
  2. Step 2: Convert to fraction form
    11,677.57/17,516.35 = 2,912.46/x
  3. Step 3: Cross multiply
    11,677.57x = 17,516.35 × 2,912.46
  4. Step 4: Simplify right side
    11,677.57x = 51,015,606.68
  5. Step 5: Solve for x
    x = 51,015,606.68/11,677.57
  6. Step 6: Final answer
    x = 4,368.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.