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Finding the Fourth Proportional to 11,496.81, 17,251.76 and 4,475.91

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Solution

The fourth proportional to 11,496.81, 17,251.76 and 4,475.91 is: 6,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.81 : 17,251.76 = 4,475.91 : x
  2. Step 2: Convert to fraction form
    11,496.81/17,251.76 = 4,475.91/x
  3. Step 3: Cross multiply
    11,496.81x = 17,251.76 × 4,475.91
  4. Step 4: Simplify right side
    11,496.81x = 77,217,291.36
  5. Step 5: Solve for x
    x = 77,217,291.36/11,496.81
  6. Step 6: Final answer
    x = 6,716.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.