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Finding the Fourth Proportional to 8,464.55, 12,694.76 and 3,534.23

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Solution

The fourth proportional to 8,464.55, 12,694.76 and 3,534.23 is: 5,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.55 : 12,694.76 = 3,534.23 : x
  2. Step 2: Convert to fraction form
    8,464.55/12,694.76 = 3,534.23/x
  3. Step 3: Cross multiply
    8,464.55x = 12,694.76 × 3,534.23
  4. Step 4: Simplify right side
    8,464.55x = 44,866,120.49
  5. Step 5: Solve for x
    x = 44,866,120.49/8,464.55
  6. Step 6: Final answer
    x = 5,300.48

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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.