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Finding the Fourth Proportional to 11,146.94, 16,720.92 and 6,212.84

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Solution

The fourth proportional to 11,146.94, 16,720.92 and 6,212.84 is: 9,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.94 : 16,720.92 = 6,212.84 : x
  2. Step 2: Convert to fraction form
    11,146.94/16,720.92 = 6,212.84/x
  3. Step 3: Cross multiply
    11,146.94x = 16,720.92 × 6,212.84
  4. Step 4: Simplify right side
    11,146.94x = 103,884,400.61
  5. Step 5: Solve for x
    x = 103,884,400.61/11,146.94
  6. Step 6: Final answer
    x = 9,319.54

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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.