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Finding the Fourth Proportional to 11,776.68, 17,659.32 and 6,847.62

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Solution

The fourth proportional to 11,776.68, 17,659.32 and 6,847.62 is: 10,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.68 : 17,659.32 = 6,847.62 : x
  2. Step 2: Convert to fraction form
    11,776.68/17,659.32 = 6,847.62/x
  3. Step 3: Cross multiply
    11,776.68x = 17,659.32 × 6,847.62
  4. Step 4: Simplify right side
    11,776.68x = 120,924,312.82
  5. Step 5: Solve for x
    x = 120,924,312.82/11,776.68
  6. Step 6: Final answer
    x = 10,268.12

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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.