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Finding the Fourth Proportional to 7,876.31, 11,815.03 and 2,611.10

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Solution

The fourth proportional to 7,876.31, 11,815.03 and 2,611.10 is: 3,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.31 : 11,815.03 = 2,611.10 : x
  2. Step 2: Convert to fraction form
    7,876.31/11,815.03 = 2,611.10/x
  3. Step 3: Cross multiply
    7,876.31x = 11,815.03 × 2,611.10
  4. Step 4: Simplify right side
    7,876.31x = 30,850,257.63
  5. Step 5: Solve for x
    x = 30,850,257.63/7,876.31
  6. Step 6: Final answer
    x = 3,916.84

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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.