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Finding the Fourth Proportional to 11,817.80, 17,732.84 and 7,656.72

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Solution

The fourth proportional to 11,817.80, 17,732.84 and 7,656.72 is: 11,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.80 : 17,732.84 = 7,656.72 : x
  2. Step 2: Convert to fraction form
    11,817.80/17,732.84 = 7,656.72/x
  3. Step 3: Cross multiply
    11,817.80x = 17,732.84 × 7,656.72
  4. Step 4: Simplify right side
    11,817.80x = 135,775,352.40
  5. Step 5: Solve for x
    x = 135,775,352.40/11,817.80
  6. Step 6: Final answer
    x = 11,489.06

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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.