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Finding the Fourth Proportional to 11,817.77, 17,717.87 and 5,153.01

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Solution

The fourth proportional to 11,817.77, 17,717.87 and 5,153.01 is: 7,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.77 : 17,717.87 = 5,153.01 : x
  2. Step 2: Convert to fraction form
    11,817.77/17,717.87 = 5,153.01/x
  3. Step 3: Cross multiply
    11,817.77x = 17,717.87 × 5,153.01
  4. Step 4: Simplify right side
    11,817.77x = 91,300,361.29
  5. Step 5: Solve for x
    x = 91,300,361.29/11,817.77
  6. Step 6: Final answer
    x = 7,725.68

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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.