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Finding the Fourth Proportional to 6,511.62, 8,986.03 and 3,527.44

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Solution

The fourth proportional to 6,511.62, 8,986.03 and 3,527.44 is: 4,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.62 : 8,986.03 = 3,527.44 : x
  2. Step 2: Convert to fraction form
    6,511.62/8,986.03 = 3,527.44/x
  3. Step 3: Cross multiply
    6,511.62x = 8,986.03 × 3,527.44
  4. Step 4: Simplify right side
    6,511.62x = 31,697,681.66
  5. Step 5: Solve for x
    x = 31,697,681.66/6,511.62
  6. Step 6: Final answer
    x = 4,867.86

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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.