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Finding the Fourth Proportional to 8,574.13, 12,863.09 and 3,647.98

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Solution

The fourth proportional to 8,574.13, 12,863.09 and 3,647.98 is: 5,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.13 : 12,863.09 = 3,647.98 : x
  2. Step 2: Convert to fraction form
    8,574.13/12,863.09 = 3,647.98/x
  3. Step 3: Cross multiply
    8,574.13x = 12,863.09 × 3,647.98
  4. Step 4: Simplify right side
    8,574.13x = 46,924,295.06
  5. Step 5: Solve for x
    x = 46,924,295.06/8,574.13
  6. Step 6: Final answer
    x = 5,472.78

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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.