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Finding the Fourth Proportional to 11,464.61, 17,195.97 and 3,566.81

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Solution

The fourth proportional to 11,464.61, 17,195.97 and 3,566.81 is: 5,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.61 : 17,195.97 = 3,566.81 : x
  2. Step 2: Convert to fraction form
    11,464.61/17,195.97 = 3,566.81/x
  3. Step 3: Cross multiply
    11,464.61x = 17,195.97 × 3,566.81
  4. Step 4: Simplify right side
    11,464.61x = 61,334,671.78
  5. Step 5: Solve for x
    x = 61,334,671.78/11,464.61
  6. Step 6: Final answer
    x = 5,349.92

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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.