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Finding the Fourth Proportional to 11,494.24, 17,245.07 and 5,646.74

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Solution

The fourth proportional to 11,494.24, 17,245.07 and 5,646.74 is: 8,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.24 : 17,245.07 = 5,646.74 : x
  2. Step 2: Convert to fraction form
    11,494.24/17,245.07 = 5,646.74/x
  3. Step 3: Cross multiply
    11,494.24x = 17,245.07 × 5,646.74
  4. Step 4: Simplify right side
    11,494.24x = 97,378,426.57
  5. Step 5: Solve for x
    x = 97,378,426.57/11,494.24
  6. Step 6: Final answer
    x = 8,471.93

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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.