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Finding the Fourth Proportional to 11,022.84, 16,534.80 and 3,231

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Solution

The fourth proportional to 11,022.84, 16,534.80 and 3,231 is: 4,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.84 : 16,534.80 = 3,231 : x
  2. Step 2: Convert to fraction form
    11,022.84/16,534.80 = 3,231/x
  3. Step 3: Cross multiply
    11,022.84x = 16,534.80 × 3,231
  4. Step 4: Simplify right side
    11,022.84x = 53,423,938.80
  5. Step 5: Solve for x
    x = 53,423,938.80/11,022.84
  6. Step 6: Final answer
    x = 4,846.66

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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.