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Finding the Fourth Proportional to 11,741.88, 16,203.06 and 6,436.32

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Solution

The fourth proportional to 11,741.88, 16,203.06 and 6,436.32 is: 8,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.88 : 16,203.06 = 6,436.32 : x
  2. Step 2: Convert to fraction form
    11,741.88/16,203.06 = 6,436.32/x
  3. Step 3: Cross multiply
    11,741.88x = 16,203.06 × 6,436.32
  4. Step 4: Simplify right side
    11,741.88x = 104,288,079.14
  5. Step 5: Solve for x
    x = 104,288,079.14/11,741.88
  6. Step 6: Final answer
    x = 8,881.72

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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.