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Finding the Fourth Proportional to 11,391.64, 17,072.30 and 6,458.20

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Solution

The fourth proportional to 11,391.64, 17,072.30 and 6,458.20 is: 9,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.64 : 17,072.30 = 6,458.20 : x
  2. Step 2: Convert to fraction form
    11,391.64/17,072.30 = 6,458.20/x
  3. Step 3: Cross multiply
    11,391.64x = 17,072.30 × 6,458.20
  4. Step 4: Simplify right side
    11,391.64x = 110,256,327.86
  5. Step 5: Solve for x
    x = 110,256,327.86/11,391.64
  6. Step 6: Final answer
    x = 9,678.71

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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.