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Finding the Fourth Proportional to 11,910.20, 16,428.48 and 7,659.84

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Solution

The fourth proportional to 11,910.20, 16,428.48 and 7,659.84 is: 10,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.20 : 16,428.48 = 7,659.84 : x
  2. Step 2: Convert to fraction form
    11,910.20/16,428.48 = 7,659.84/x
  3. Step 3: Cross multiply
    11,910.20x = 16,428.48 × 7,659.84
  4. Step 4: Simplify right side
    11,910.20x = 125,839,528.24
  5. Step 5: Solve for x
    x = 125,839,528.24/11,910.20
  6. Step 6: Final answer
    x = 10,565.69

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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.