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Finding the Fourth Proportional to 11,654.70, 17,484.78 and 3,334.84

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Solution

The fourth proportional to 11,654.70, 17,484.78 and 3,334.84 is: 5,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.70 : 17,484.78 = 3,334.84 : x
  2. Step 2: Convert to fraction form
    11,654.70/17,484.78 = 3,334.84/x
  3. Step 3: Cross multiply
    11,654.70x = 17,484.78 × 3,334.84
  4. Step 4: Simplify right side
    11,654.70x = 58,308,943.74
  5. Step 5: Solve for x
    x = 58,308,943.74/11,654.70
  6. Step 6: Final answer
    x = 5,003.04

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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.