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Finding the Fourth Proportional to 11,000.38, 16,461.16 and 9,524.69

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Solution

The fourth proportional to 11,000.38, 16,461.16 and 9,524.69 is: 14,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.38 : 16,461.16 = 9,524.69 : x
  2. Step 2: Convert to fraction form
    11,000.38/16,461.16 = 9,524.69/x
  3. Step 3: Cross multiply
    11,000.38x = 16,461.16 × 9,524.69
  4. Step 4: Simplify right side
    11,000.38x = 156,787,494.25
  5. Step 5: Solve for x
    x = 156,787,494.25/11,000.38
  6. Step 6: Final answer
    x = 14,252.91

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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.