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Finding the Fourth Proportional to 8,254.14, 12,381.63 and 2,410.80

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Solution

The fourth proportional to 8,254.14, 12,381.63 and 2,410.80 is: 3,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.14 : 12,381.63 = 2,410.80 : x
  2. Step 2: Convert to fraction form
    8,254.14/12,381.63 = 2,410.80/x
  3. Step 3: Cross multiply
    8,254.14x = 12,381.63 × 2,410.80
  4. Step 4: Simplify right side
    8,254.14x = 29,849,633.60
  5. Step 5: Solve for x
    x = 29,849,633.60/8,254.14
  6. Step 6: Final answer
    x = 3,616.32

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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.