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Finding the Fourth Proportional to 8,253.75, 12,381 and 2,410.86

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Solution

The fourth proportional to 8,253.75, 12,381 and 2,410.86 is: 3,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.75 : 12,381 = 2,410.86 : x
  2. Step 2: Convert to fraction form
    8,253.75/12,381 = 2,410.86/x
  3. Step 3: Cross multiply
    8,253.75x = 12,381 × 2,410.86
  4. Step 4: Simplify right side
    8,253.75x = 29,848,857.66
  5. Step 5: Solve for x
    x = 29,848,857.66/8,253.75
  6. Step 6: Final answer
    x = 3,616.40

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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.