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Finding the Fourth Proportional to 11,741.60, 16,203.21 and 6,363.90

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Solution

The fourth proportional to 11,741.60, 16,203.21 and 6,363.90 is: 8,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.60 : 16,203.21 = 6,363.90 : x
  2. Step 2: Convert to fraction form
    11,741.60/16,203.21 = 6,363.90/x
  3. Step 3: Cross multiply
    11,741.60x = 16,203.21 × 6,363.90
  4. Step 4: Simplify right side
    11,741.60x = 103,115,608.12
  5. Step 5: Solve for x
    x = 103,115,608.12/11,741.60
  6. Step 6: Final answer
    x = 8,782.08

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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.