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Finding the Fourth Proportional to 11,616.64, 17,426.40 and 3,828.16

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Solution

The fourth proportional to 11,616.64, 17,426.40 and 3,828.16 is: 5,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.64 : 17,426.40 = 3,828.16 : x
  2. Step 2: Convert to fraction form
    11,616.64/17,426.40 = 3,828.16/x
  3. Step 3: Cross multiply
    11,616.64x = 17,426.40 × 3,828.16
  4. Step 4: Simplify right side
    11,616.64x = 66,711,047.42
  5. Step 5: Solve for x
    x = 66,711,047.42/11,616.64
  6. Step 6: Final answer
    x = 5,742.71

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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.