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Finding the Fourth Proportional to 11,575.36, 17,359.82 and 5,649.04

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Solution

The fourth proportional to 11,575.36, 17,359.82 and 5,649.04 is: 8,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.36 : 17,359.82 = 5,649.04 : x
  2. Step 2: Convert to fraction form
    11,575.36/17,359.82 = 5,649.04/x
  3. Step 3: Cross multiply
    11,575.36x = 17,359.82 × 5,649.04
  4. Step 4: Simplify right side
    11,575.36x = 98,066,332.21
  5. Step 5: Solve for x
    x = 98,066,332.21/11,575.36
  6. Step 6: Final answer
    x = 8,471.99

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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.