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Finding the Fourth Proportional to 11,453.69, 15,811.61 and 7,206.81

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Solution

The fourth proportional to 11,453.69, 15,811.61 and 7,206.81 is: 9,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.69 : 15,811.61 = 7,206.81 : x
  2. Step 2: Convert to fraction form
    11,453.69/15,811.61 = 7,206.81/x
  3. Step 3: Cross multiply
    11,453.69x = 15,811.61 × 7,206.81
  4. Step 4: Simplify right side
    11,453.69x = 113,951,233.03
  5. Step 5: Solve for x
    x = 113,951,233.03/11,453.69
  6. Step 6: Final answer
    x = 9,948.87

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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.