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Finding the Fourth Proportional to 6,511.95, 8,986.55 and 3,824.78

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Solution

The fourth proportional to 6,511.95, 8,986.55 and 3,824.78 is: 5,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.95 : 8,986.55 = 3,824.78 : x
  2. Step 2: Convert to fraction form
    6,511.95/8,986.55 = 3,824.78/x
  3. Step 3: Cross multiply
    6,511.95x = 8,986.55 × 3,824.78
  4. Step 4: Simplify right side
    6,511.95x = 34,371,512.65
  5. Step 5: Solve for x
    x = 34,371,512.65/6,511.95
  6. Step 6: Final answer
    x = 5,278.22

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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.