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Finding the Fourth Proportional to 8,471.36, 12,706.32 and 2,315.36

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Solution

The fourth proportional to 8,471.36, 12,706.32 and 2,315.36 is: 3,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.36 : 12,706.32 = 2,315.36 : x
  2. Step 2: Convert to fraction form
    8,471.36/12,706.32 = 2,315.36/x
  3. Step 3: Cross multiply
    8,471.36x = 12,706.32 × 2,315.36
  4. Step 4: Simplify right side
    8,471.36x = 29,419,705.08
  5. Step 5: Solve for x
    x = 29,419,705.08/8,471.36
  6. Step 6: Final answer
    x = 3,472.84

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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.