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Finding the Fourth Proportional to 11,023.16, 16,520.49 and 7,072.92

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Solution

The fourth proportional to 11,023.16, 16,520.49 and 7,072.92 is: 10,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.16 : 16,520.49 = 7,072.92 : x
  2. Step 2: Convert to fraction form
    11,023.16/16,520.49 = 7,072.92/x
  3. Step 3: Cross multiply
    11,023.16x = 16,520.49 × 7,072.92
  4. Step 4: Simplify right side
    11,023.16x = 116,848,104.13
  5. Step 5: Solve for x
    x = 116,848,104.13/11,023.16
  6. Step 6: Final answer
    x = 10,600.24

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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.