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Finding the Fourth Proportional to 11,679.71, 16,117.79 and 6,575.23

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Solution

The fourth proportional to 11,679.71, 16,117.79 and 6,575.23 is: 9,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.71 : 16,117.79 = 6,575.23 : x
  2. Step 2: Convert to fraction form
    11,679.71/16,117.79 = 6,575.23/x
  3. Step 3: Cross multiply
    11,679.71x = 16,117.79 × 6,575.23
  4. Step 4: Simplify right side
    11,679.71x = 105,978,072.95
  5. Step 5: Solve for x
    x = 105,978,072.95/11,679.71
  6. Step 6: Final answer
    x = 9,073.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.