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Finding the Fourth Proportional to 11,491, 17,222.65 and 5,941.35

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Solution

The fourth proportional to 11,491, 17,222.65 and 5,941.35 is: 8,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491 : 17,222.65 = 5,941.35 : x
  2. Step 2: Convert to fraction form
    11,491/17,222.65 = 5,941.35/x
  3. Step 3: Cross multiply
    11,491x = 17,222.65 × 5,941.35
  4. Step 4: Simplify right side
    11,491x = 102,325,791.58
  5. Step 5: Solve for x
    x = 102,325,791.58/11,491
  6. Step 6: Final answer
    x = 8,904.86

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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.