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Finding the Fourth Proportional to 11,646.72, 16,072.56 and 6,341.54

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Solution

The fourth proportional to 11,646.72, 16,072.56 and 6,341.54 is: 8,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.72 : 16,072.56 = 6,341.54 : x
  2. Step 2: Convert to fraction form
    11,646.72/16,072.56 = 6,341.54/x
  3. Step 3: Cross multiply
    11,646.72x = 16,072.56 × 6,341.54
  4. Step 4: Simplify right side
    11,646.72x = 101,924,782.14
  5. Step 5: Solve for x
    x = 101,924,782.14/11,646.72
  6. Step 6: Final answer
    x = 8,751.37

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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.