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Finding the Fourth Proportional to 11,817.20, 17,720.16 and 6,888.26

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Solution

The fourth proportional to 11,817.20, 17,720.16 and 6,888.26 is: 10,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.20 : 17,720.16 = 6,888.26 : x
  2. Step 2: Convert to fraction form
    11,817.20/17,720.16 = 6,888.26/x
  3. Step 3: Cross multiply
    11,817.20x = 17,720.16 × 6,888.26
  4. Step 4: Simplify right side
    11,817.20x = 122,061,069.32
  5. Step 5: Solve for x
    x = 122,061,069.32/11,817.20
  6. Step 6: Final answer
    x = 10,329.10

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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.