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Finding the Fourth Proportional to 11,783.71, 17,654.81 and 6,224.81

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Solution

The fourth proportional to 11,783.71, 17,654.81 and 6,224.81 is: 9,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.71 : 17,654.81 = 6,224.81 : x
  2. Step 2: Convert to fraction form
    11,783.71/17,654.81 = 6,224.81/x
  3. Step 3: Cross multiply
    11,783.71x = 17,654.81 × 6,224.81
  4. Step 4: Simplify right side
    11,783.71x = 109,897,718.44
  5. Step 5: Solve for x
    x = 109,897,718.44/11,783.71
  6. Step 6: Final answer
    x = 9,326.24

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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.