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Finding the Fourth Proportional to 11,462.77, 17,115.73 and 10,269.10

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Solution

The fourth proportional to 11,462.77, 17,115.73 and 10,269.10 is: 15,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.77 : 17,115.73 = 10,269.10 : x
  2. Step 2: Convert to fraction form
    11,462.77/17,115.73 = 10,269.10/x
  3. Step 3: Cross multiply
    11,462.77x = 17,115.73 × 10,269.10
  4. Step 4: Simplify right side
    11,462.77x = 175,763,142.94
  5. Step 5: Solve for x
    x = 175,763,142.94/11,462.77
  6. Step 6: Final answer
    x = 15,333.39

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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.