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Finding the Fourth Proportional to 11,326.96, 17,004.48 and 6,400.54

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Solution

The fourth proportional to 11,326.96, 17,004.48 and 6,400.54 is: 9,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326.96 : 17,004.48 = 6,400.54 : x
  2. Step 2: Convert to fraction form
    11,326.96/17,004.48 = 6,400.54/x
  3. Step 3: Cross multiply
    11,326.96x = 17,004.48 × 6,400.54
  4. Step 4: Simplify right side
    11,326.96x = 108,837,854.42
  5. Step 5: Solve for x
    x = 108,837,854.42/11,326.96
  6. Step 6: Final answer
    x = 9,608.74

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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.