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Finding the Fourth Proportional to 11,472.08, 17,164.64 and 6,794.60

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Solution

The fourth proportional to 11,472.08, 17,164.64 and 6,794.60 is: 10,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.08 : 17,164.64 = 6,794.60 : x
  2. Step 2: Convert to fraction form
    11,472.08/17,164.64 = 6,794.60/x
  3. Step 3: Cross multiply
    11,472.08x = 17,164.64 × 6,794.60
  4. Step 4: Simplify right side
    11,472.08x = 116,626,743.15
  5. Step 5: Solve for x
    x = 116,626,743.15/11,472.08
  6. Step 6: Final answer
    x = 10,166.14

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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.