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Finding the Fourth Proportional to 11,741.69, 16,203.53 and 6,436.49

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Solution

The fourth proportional to 11,741.69, 16,203.53 and 6,436.49 is: 8,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.69 : 16,203.53 = 6,436.49 : x
  2. Step 2: Convert to fraction form
    11,741.69/16,203.53 = 6,436.49/x
  3. Step 3: Cross multiply
    11,741.69x = 16,203.53 × 6,436.49
  4. Step 4: Simplify right side
    11,741.69x = 104,293,745.61
  5. Step 5: Solve for x
    x = 104,293,745.61/11,741.69
  6. Step 6: Final answer
    x = 8,882.35

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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.