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Finding the Fourth Proportional to 11,665.57, 17,467.85 and 6,389.60

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Solution

The fourth proportional to 11,665.57, 17,467.85 and 6,389.60 is: 9,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.57 : 17,467.85 = 6,389.60 : x
  2. Step 2: Convert to fraction form
    11,665.57/17,467.85 = 6,389.60/x
  3. Step 3: Cross multiply
    11,665.57x = 17,467.85 × 6,389.60
  4. Step 4: Simplify right side
    11,665.57x = 111,612,618.03
  5. Step 5: Solve for x
    x = 111,612,618.03/11,665.57
  6. Step 6: Final answer
    x = 9,567.70

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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.