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Finding the Fourth Proportional to 11,233.60, 16,846.72 and 4,660.16

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Solution

The fourth proportional to 11,233.60, 16,846.72 and 4,660.16 is: 6,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233.60 : 16,846.72 = 4,660.16 : x
  2. Step 2: Convert to fraction form
    11,233.60/16,846.72 = 4,660.16/x
  3. Step 3: Cross multiply
    11,233.60x = 16,846.72 × 4,660.16
  4. Step 4: Simplify right side
    11,233.60x = 78,508,410.68
  5. Step 5: Solve for x
    x = 78,508,410.68/11,233.60
  6. Step 6: Final answer
    x = 6,988.71

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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.