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Finding the Fourth Proportional to 7,876.75, 11,815.17 and 2,032.96

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Solution

The fourth proportional to 7,876.75, 11,815.17 and 2,032.96 is: 3,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.75 : 11,815.17 = 2,032.96 : x
  2. Step 2: Convert to fraction form
    7,876.75/11,815.17 = 2,032.96/x
  3. Step 3: Cross multiply
    7,876.75x = 11,815.17 × 2,032.96
  4. Step 4: Simplify right side
    7,876.75x = 24,019,768.00
  5. Step 5: Solve for x
    x = 24,019,768.00/7,876.75
  6. Step 6: Final answer
    x = 3,049.45

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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.