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Finding the Fourth Proportional to 11,660.76, 16,091.28 and 6,624.33

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Solution

The fourth proportional to 11,660.76, 16,091.28 and 6,624.33 is: 9,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.76 : 16,091.28 = 6,624.33 : x
  2. Step 2: Convert to fraction form
    11,660.76/16,091.28 = 6,624.33/x
  3. Step 3: Cross multiply
    11,660.76x = 16,091.28 × 6,624.33
  4. Step 4: Simplify right side
    11,660.76x = 106,593,948.84
  5. Step 5: Solve for x
    x = 106,593,948.84/11,660.76
  6. Step 6: Final answer
    x = 9,141.25

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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.