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Finding the Fourth Proportional to 8,741.60, 13,109.68 and 3,809.92

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Solution

The fourth proportional to 8,741.60, 13,109.68 and 3,809.92 is: 5,713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.60 : 13,109.68 = 3,809.92 : x
  2. Step 2: Convert to fraction form
    8,741.60/13,109.68 = 3,809.92/x
  3. Step 3: Cross multiply
    8,741.60x = 13,109.68 × 3,809.92
  4. Step 4: Simplify right side
    8,741.60x = 49,946,832.03
  5. Step 5: Solve for x
    x = 49,946,832.03/8,741.60
  6. Step 6: Final answer
    x = 5,713.69

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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.