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Finding the Fourth Proportional to 8,509.81, 12,761.88 and 3,578.53

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Solution

The fourth proportional to 8,509.81, 12,761.88 and 3,578.53 is: 5,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.81 : 12,761.88 = 3,578.53 : x
  2. Step 2: Convert to fraction form
    8,509.81/12,761.88 = 3,578.53/x
  3. Step 3: Cross multiply
    8,509.81x = 12,761.88 × 3,578.53
  4. Step 4: Simplify right side
    8,509.81x = 45,668,770.44
  5. Step 5: Solve for x
    x = 45,668,770.44/8,509.81
  6. Step 6: Final answer
    x = 5,366.60

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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.