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Finding the Fourth Proportional to 11,381.81, 17,076.02 and 4,717.08

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Solution

The fourth proportional to 11,381.81, 17,076.02 and 4,717.08 is: 7,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.81 : 17,076.02 = 4,717.08 : x
  2. Step 2: Convert to fraction form
    11,381.81/17,076.02 = 4,717.08/x
  3. Step 3: Cross multiply
    11,381.81x = 17,076.02 × 4,717.08
  4. Step 4: Simplify right side
    11,381.81x = 80,548,928.84
  5. Step 5: Solve for x
    x = 80,548,928.84/11,381.81
  6. Step 6: Final answer
    x = 7,076.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.