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Finding the Fourth Proportional to 11,677.37, 17,515.85 and 2,912.15

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Solution

The fourth proportional to 11,677.37, 17,515.85 and 2,912.15 is: 4,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.37 : 17,515.85 = 2,912.15 : x
  2. Step 2: Convert to fraction form
    11,677.37/17,515.85 = 2,912.15/x
  3. Step 3: Cross multiply
    11,677.37x = 17,515.85 × 2,912.15
  4. Step 4: Simplify right side
    11,677.37x = 51,008,811.81
  5. Step 5: Solve for x
    x = 51,008,811.81/11,677.37
  6. Step 6: Final answer
    x = 4,368.18

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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.