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Finding the Fourth Proportional to 11,506.20, 15,874.86 and 6,791.64

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Solution

The fourth proportional to 11,506.20, 15,874.86 and 6,791.64 is: 9,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.20 : 15,874.86 = 6,791.64 : x
  2. Step 2: Convert to fraction form
    11,506.20/15,874.86 = 6,791.64/x
  3. Step 3: Cross multiply
    11,506.20x = 15,874.86 × 6,791.64
  4. Step 4: Simplify right side
    11,506.20x = 107,816,334.17
  5. Step 5: Solve for x
    x = 107,816,334.17/11,506.20
  6. Step 6: Final answer
    x = 9,370.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.