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Finding the Fourth Proportional to 11,816.77, 17,716.37 and 5,152.01

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Solution

The fourth proportional to 11,816.77, 17,716.37 and 5,152.01 is: 7,724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.77 : 17,716.37 = 5,152.01 : x
  2. Step 2: Convert to fraction form
    11,816.77/17,716.37 = 5,152.01/x
  3. Step 3: Cross multiply
    11,816.77x = 17,716.37 × 5,152.01
  4. Step 4: Simplify right side
    11,816.77x = 91,274,915.40
  5. Step 5: Solve for x
    x = 91,274,915.40/11,816.77
  6. Step 6: Final answer
    x = 7,724.18

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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.