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Finding the Fourth Proportional to 7,775.14, 11,657.25 and 3,876.82

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Solution

The fourth proportional to 7,775.14, 11,657.25 and 3,876.82 is: 5,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.14 : 11,657.25 = 3,876.82 : x
  2. Step 2: Convert to fraction form
    7,775.14/11,657.25 = 3,876.82/x
  3. Step 3: Cross multiply
    7,775.14x = 11,657.25 × 3,876.82
  4. Step 4: Simplify right side
    7,775.14x = 45,193,059.95
  5. Step 5: Solve for x
    x = 45,193,059.95/7,775.14
  6. Step 6: Final answer
    x = 5,812.51

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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.