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Finding the Fourth Proportional to 11,662.38, 17,477.91 and 6,389.46

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Solution

The fourth proportional to 11,662.38, 17,477.91 and 6,389.46 is: 9,575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.38 : 17,477.91 = 6,389.46 : x
  2. Step 2: Convert to fraction form
    11,662.38/17,477.91 = 6,389.46/x
  3. Step 3: Cross multiply
    11,662.38x = 17,477.91 × 6,389.46
  4. Step 4: Simplify right side
    11,662.38x = 111,674,406.83
  5. Step 5: Solve for x
    x = 111,674,406.83/11,662.38
  6. Step 6: Final answer
    x = 9,575.61

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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.