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Finding the Fourth Proportional to 11,286.69, 15,605.36 and 9,885.42

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Solution

The fourth proportional to 11,286.69, 15,605.36 and 9,885.42 is: 13,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.69 : 15,605.36 = 9,885.42 : x
  2. Step 2: Convert to fraction form
    11,286.69/15,605.36 = 9,885.42/x
  3. Step 3: Cross multiply
    11,286.69x = 15,605.36 × 9,885.42
  4. Step 4: Simplify right side
    11,286.69x = 154,265,488.42
  5. Step 5: Solve for x
    x = 154,265,488.42/11,286.69
  6. Step 6: Final answer
    x = 13,667.91

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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.