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Finding the Fourth Proportional to 7,876.80, 11,812.34 and 2,610.83

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Solution

The fourth proportional to 7,876.80, 11,812.34 and 2,610.83 is: 3,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.80 : 11,812.34 = 2,610.83 : x
  2. Step 2: Convert to fraction form
    7,876.80/11,812.34 = 2,610.83/x
  3. Step 3: Cross multiply
    7,876.80x = 11,812.34 × 2,610.83
  4. Step 4: Simplify right side
    7,876.80x = 30,840,047.70
  5. Step 5: Solve for x
    x = 30,840,047.70/7,876.80
  6. Step 6: Final answer
    x = 3,915.30

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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.