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Finding the Fourth Proportional to 6,512.11, 8,986.71 and 3,527.97

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Solution

The fourth proportional to 6,512.11, 8,986.71 and 3,527.97 is: 4,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.11 : 8,986.71 = 3,527.97 : x
  2. Step 2: Convert to fraction form
    6,512.11/8,986.71 = 3,527.97/x
  3. Step 3: Cross multiply
    6,512.11x = 8,986.71 × 3,527.97
  4. Step 4: Simplify right side
    6,512.11x = 31,704,843.28
  5. Step 5: Solve for x
    x = 31,704,843.28/6,512.11
  6. Step 6: Final answer
    x = 4,868.60

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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.