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Finding the Fourth Proportional to 10,878.50, 15,012.64 and 6,162.78

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Solution

The fourth proportional to 10,878.50, 15,012.64 and 6,162.78 is: 8,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.50 : 15,012.64 = 6,162.78 : x
  2. Step 2: Convert to fraction form
    10,878.50/15,012.64 = 6,162.78/x
  3. Step 3: Cross multiply
    10,878.50x = 15,012.64 × 6,162.78
  4. Step 4: Simplify right side
    10,878.50x = 92,519,597.54
  5. Step 5: Solve for x
    x = 92,519,597.54/10,878.50
  6. Step 6: Final answer
    x = 8,504.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.