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Finding the Fourth Proportional to 8,416, 12,623.48 and 2,572.14

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Solution

The fourth proportional to 8,416, 12,623.48 and 2,572.14 is: 3,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416 : 12,623.48 = 2,572.14 : x
  2. Step 2: Convert to fraction form
    8,416/12,623.48 = 2,572.14/x
  3. Step 3: Cross multiply
    8,416x = 12,623.48 × 2,572.14
  4. Step 4: Simplify right side
    8,416x = 32,469,357.85
  5. Step 5: Solve for x
    x = 32,469,357.85/8,416
  6. Step 6: Final answer
    x = 3,858.05

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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.