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Finding the Fourth Proportional to 6,775.96, 10,161.06 and 4,178.20

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Solution

The fourth proportional to 6,775.96, 10,161.06 and 4,178.20 is: 6,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.96 : 10,161.06 = 4,178.20 : x
  2. Step 2: Convert to fraction form
    6,775.96/10,161.06 = 4,178.20/x
  3. Step 3: Cross multiply
    6,775.96x = 10,161.06 × 4,178.20
  4. Step 4: Simplify right side
    6,775.96x = 42,454,940.89
  5. Step 5: Solve for x
    x = 42,454,940.89/6,775.96
  6. Step 6: Final answer
    x = 6,265.52

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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.