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Finding the Fourth Proportional to 11,646.84, 17,470.32 and 3,327.84

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Solution

The fourth proportional to 11,646.84, 17,470.32 and 3,327.84 is: 4,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.84 : 17,470.32 = 3,327.84 : x
  2. Step 2: Convert to fraction form
    11,646.84/17,470.32 = 3,327.84/x
  3. Step 3: Cross multiply
    11,646.84x = 17,470.32 × 3,327.84
  4. Step 4: Simplify right side
    11,646.84x = 58,138,429.71
  5. Step 5: Solve for x
    x = 58,138,429.71/11,646.84
  6. Step 6: Final answer
    x = 4,991.78

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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.