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Finding the Fourth Proportional to 8,741.80, 12,035.82 and 8,145.64

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Solution

The fourth proportional to 8,741.80, 12,035.82 and 8,145.64 is: 11,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.80 : 12,035.82 = 8,145.64 : x
  2. Step 2: Convert to fraction form
    8,741.80/12,035.82 = 8,145.64/x
  3. Step 3: Cross multiply
    8,741.80x = 12,035.82 × 8,145.64
  4. Step 4: Simplify right side
    8,741.80x = 98,039,456.82
  5. Step 5: Solve for x
    x = 98,039,456.82/8,741.80
  6. Step 6: Final answer
    x = 11,215.02

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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.