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Finding the Fourth Proportional to 11,760.73, 17,642.66 and 6,214.30

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Solution

The fourth proportional to 11,760.73, 17,642.66 and 6,214.30 is: 9,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.73 : 17,642.66 = 6,214.30 : x
  2. Step 2: Convert to fraction form
    11,760.73/17,642.66 = 6,214.30/x
  3. Step 3: Cross multiply
    11,760.73x = 17,642.66 × 6,214.30
  4. Step 4: Simplify right side
    11,760.73x = 109,636,706.86
  5. Step 5: Solve for x
    x = 109,636,706.86/11,760.73
  6. Step 6: Final answer
    x = 9,322.27

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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.