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Finding the Fourth Proportional to 11,910.51, 16,435.92 and 6,532.83

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Solution

The fourth proportional to 11,910.51, 16,435.92 and 6,532.83 is: 9,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.51 : 16,435.92 = 6,532.83 : x
  2. Step 2: Convert to fraction form
    11,910.51/16,435.92 = 6,532.83/x
  3. Step 3: Cross multiply
    11,910.51x = 16,435.92 × 6,532.83
  4. Step 4: Simplify right side
    11,910.51x = 107,373,071.25
  5. Step 5: Solve for x
    x = 107,373,071.25/11,910.51
  6. Step 6: Final answer
    x = 9,014.99

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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.