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Finding the Fourth Proportional to 11,523.39, 17,284.28 and 6,577.53

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Solution

The fourth proportional to 11,523.39, 17,284.28 and 6,577.53 is: 9,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.39 : 17,284.28 = 6,577.53 : x
  2. Step 2: Convert to fraction form
    11,523.39/17,284.28 = 6,577.53/x
  3. Step 3: Cross multiply
    11,523.39x = 17,284.28 × 6,577.53
  4. Step 4: Simplify right side
    11,523.39x = 113,687,837.34
  5. Step 5: Solve for x
    x = 113,687,837.34/11,523.39
  6. Step 6: Final answer
    x = 9,865.83

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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.