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Finding the Fourth Proportional to 11,747.92, 16,208.76 and 7,767.60

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Solution

The fourth proportional to 11,747.92, 16,208.76 and 7,767.60 is: 10,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.92 : 16,208.76 = 7,767.60 : x
  2. Step 2: Convert to fraction form
    11,747.92/16,208.76 = 7,767.60/x
  3. Step 3: Cross multiply
    11,747.92x = 16,208.76 × 7,767.60
  4. Step 4: Simplify right side
    11,747.92x = 125,903,164.18
  5. Step 5: Solve for x
    x = 125,903,164.18/11,747.92
  6. Step 6: Final answer
    x = 10,717.06

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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.