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Finding the Fourth Proportional to 11,741.93, 16,203.74 and 6,436.72

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Solution

The fourth proportional to 11,741.93, 16,203.74 and 6,436.72 is: 8,882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.93 : 16,203.74 = 6,436.72 : x
  2. Step 2: Convert to fraction form
    11,741.93/16,203.74 = 6,436.72/x
  3. Step 3: Cross multiply
    11,741.93x = 16,203.74 × 6,436.72
  4. Step 4: Simplify right side
    11,741.93x = 104,298,852.36
  5. Step 5: Solve for x
    x = 104,298,852.36/11,741.93
  6. Step 6: Final answer
    x = 8,882.60

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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.