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Finding the Fourth Proportional to 11,146.50, 16,715.88 and 3,246.89

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Solution

The fourth proportional to 11,146.50, 16,715.88 and 3,246.89 is: 4,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.50 : 16,715.88 = 3,246.89 : x
  2. Step 2: Convert to fraction form
    11,146.50/16,715.88 = 3,246.89/x
  3. Step 3: Cross multiply
    11,146.50x = 16,715.88 × 3,246.89
  4. Step 4: Simplify right side
    11,146.50x = 54,274,540.03
  5. Step 5: Solve for x
    x = 54,274,540.03/11,146.50
  6. Step 6: Final answer
    x = 4,869.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.