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Finding the Fourth Proportional to 11,847.84, 17,781.36 and 6,304.80

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Solution

The fourth proportional to 11,847.84, 17,781.36 and 6,304.80 is: 9,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.84 : 17,781.36 = 6,304.80 : x
  2. Step 2: Convert to fraction form
    11,847.84/17,781.36 = 6,304.80/x
  3. Step 3: Cross multiply
    11,847.84x = 17,781.36 × 6,304.80
  4. Step 4: Simplify right side
    11,847.84x = 112,107,918.53
  5. Step 5: Solve for x
    x = 112,107,918.53/11,847.84
  6. Step 6: Final answer
    x = 9,462.31

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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.