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Finding the Fourth Proportional to 11,072.66, 16,538.42 and 10,016.87

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Solution

The fourth proportional to 11,072.66, 16,538.42 and 10,016.87 is: 14,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.66 : 16,538.42 = 10,016.87 : x
  2. Step 2: Convert to fraction form
    11,072.66/16,538.42 = 10,016.87/x
  3. Step 3: Cross multiply
    11,072.66x = 16,538.42 × 10,016.87
  4. Step 4: Simplify right side
    11,072.66x = 165,663,145.50
  5. Step 5: Solve for x
    x = 165,663,145.50/11,072.66
  6. Step 6: Final answer
    x = 14,961.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.