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Finding the Fourth Proportional to 11,817.90, 16,304.13 and 6,780.30

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Solution

The fourth proportional to 11,817.90, 16,304.13 and 6,780.30 is: 9,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.90 : 16,304.13 = 6,780.30 : x
  2. Step 2: Convert to fraction form
    11,817.90/16,304.13 = 6,780.30/x
  3. Step 3: Cross multiply
    11,817.90x = 16,304.13 × 6,780.30
  4. Step 4: Simplify right side
    11,817.90x = 110,546,892.64
  5. Step 5: Solve for x
    x = 110,546,892.64/11,817.90
  6. Step 6: Final answer
    x = 9,354.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.