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Finding the Fourth Proportional to 11,816.16, 17,727.28 and 3,495.84

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Solution

The fourth proportional to 11,816.16, 17,727.28 and 3,495.84 is: 5,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.16 : 17,727.28 = 3,495.84 : x
  2. Step 2: Convert to fraction form
    11,816.16/17,727.28 = 3,495.84/x
  3. Step 3: Cross multiply
    11,816.16x = 17,727.28 × 3,495.84
  4. Step 4: Simplify right side
    11,816.16x = 61,971,717.04
  5. Step 5: Solve for x
    x = 61,971,717.04/11,816.16
  6. Step 6: Final answer
    x = 5,244.66

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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.