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Finding the Fourth Proportional to 11,538.66, 17,307.99 and 6,611.43

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Solution

The fourth proportional to 11,538.66, 17,307.99 and 6,611.43 is: 9,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.66 : 17,307.99 = 6,611.43 : x
  2. Step 2: Convert to fraction form
    11,538.66/17,307.99 = 6,611.43/x
  3. Step 3: Cross multiply
    11,538.66x = 17,307.99 × 6,611.43
  4. Step 4: Simplify right side
    11,538.66x = 114,430,564.33
  5. Step 5: Solve for x
    x = 114,430,564.33/11,538.66
  6. Step 6: Final answer
    x = 9,917.15

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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.