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Finding the Fourth Proportional to 8,414.37, 12,624.29 and 2,871.23

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Solution

The fourth proportional to 8,414.37, 12,624.29 and 2,871.23 is: 4,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.37 : 12,624.29 = 2,871.23 : x
  2. Step 2: Convert to fraction form
    8,414.37/12,624.29 = 2,871.23/x
  3. Step 3: Cross multiply
    8,414.37x = 12,624.29 × 2,871.23
  4. Step 4: Simplify right side
    8,414.37x = 36,247,162.70
  5. Step 5: Solve for x
    x = 36,247,162.70/8,414.37
  6. Step 6: Final answer
    x = 4,307.77

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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.