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Finding the Fourth Proportional to 11,744.46, 16,208.91 and 7,564.86

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Solution

The fourth proportional to 11,744.46, 16,208.91 and 7,564.86 is: 10,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.46 : 16,208.91 = 7,564.86 : x
  2. Step 2: Convert to fraction form
    11,744.46/16,208.91 = 7,564.86/x
  3. Step 3: Cross multiply
    11,744.46x = 16,208.91 × 7,564.86
  4. Step 4: Simplify right side
    11,744.46x = 122,618,134.90
  5. Step 5: Solve for x
    x = 122,618,134.90/11,744.46
  6. Step 6: Final answer
    x = 10,440.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.