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Finding the Fourth Proportional to 7,717.64, 11,576.40 and 1,874.21

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Solution

The fourth proportional to 7,717.64, 11,576.40 and 1,874.21 is: 2,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.64 : 11,576.40 = 1,874.21 : x
  2. Step 2: Convert to fraction form
    7,717.64/11,576.40 = 1,874.21/x
  3. Step 3: Cross multiply
    7,717.64x = 11,576.40 × 1,874.21
  4. Step 4: Simplify right side
    7,717.64x = 21,696,546.76
  5. Step 5: Solve for x
    x = 21,696,546.76/7,717.64
  6. Step 6: Final answer
    x = 2,811.29

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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.