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Finding the Fourth Proportional to 8,474.49, 12,710.92 and 5,185.89

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Solution

The fourth proportional to 8,474.49, 12,710.92 and 5,185.89 is: 7,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.49 : 12,710.92 = 5,185.89 : x
  2. Step 2: Convert to fraction form
    8,474.49/12,710.92 = 5,185.89/x
  3. Step 3: Cross multiply
    8,474.49x = 12,710.92 × 5,185.89
  4. Step 4: Simplify right side
    8,474.49x = 65,917,432.92
  5. Step 5: Solve for x
    x = 65,917,432.92/8,474.49
  6. Step 6: Final answer
    x = 7,778.34

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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.