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Finding the Fourth Proportional to 11,076.72, 15,276.24 and 9,584.16

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Solution

The fourth proportional to 11,076.72, 15,276.24 and 9,584.16 is: 13,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.72 : 15,276.24 = 9,584.16 : x
  2. Step 2: Convert to fraction form
    11,076.72/15,276.24 = 9,584.16/x
  3. Step 3: Cross multiply
    11,076.72x = 15,276.24 × 9,584.16
  4. Step 4: Simplify right side
    11,076.72x = 146,409,928.36
  5. Step 5: Solve for x
    x = 146,409,928.36/11,076.72
  6. Step 6: Final answer
    x = 13,217.81

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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.