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Finding the Fourth Proportional to 11,665.86, 17,497.51 and 4,167.82

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Solution

The fourth proportional to 11,665.86, 17,497.51 and 4,167.82 is: 6,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.86 : 17,497.51 = 4,167.82 : x
  2. Step 2: Convert to fraction form
    11,665.86/17,497.51 = 4,167.82/x
  3. Step 3: Cross multiply
    11,665.86x = 17,497.51 × 4,167.82
  4. Step 4: Simplify right side
    11,665.86x = 72,926,472.13
  5. Step 5: Solve for x
    x = 72,926,472.13/11,665.86
  6. Step 6: Final answer
    x = 6,251.27

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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.