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Finding the Fourth Proportional to 11,242.79, 16,864.41 and 3,855.74

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Solution

The fourth proportional to 11,242.79, 16,864.41 and 3,855.74 is: 5,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.79 : 16,864.41 = 3,855.74 : x
  2. Step 2: Convert to fraction form
    11,242.79/16,864.41 = 3,855.74/x
  3. Step 3: Cross multiply
    11,242.79x = 16,864.41 × 3,855.74
  4. Step 4: Simplify right side
    11,242.79x = 65,024,738.05
  5. Step 5: Solve for x
    x = 65,024,738.05/11,242.79
  6. Step 6: Final answer
    x = 5,783.68

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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.