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Finding the Fourth Proportional to 7,656.96, 11,486.89 and 2,659.14

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Solution

The fourth proportional to 7,656.96, 11,486.89 and 2,659.14 is: 3,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.96 : 11,486.89 = 2,659.14 : x
  2. Step 2: Convert to fraction form
    7,656.96/11,486.89 = 2,659.14/x
  3. Step 3: Cross multiply
    7,656.96x = 11,486.89 × 2,659.14
  4. Step 4: Simplify right side
    7,656.96x = 30,545,191.24
  5. Step 5: Solve for x
    x = 30,545,191.24/7,656.96
  6. Step 6: Final answer
    x = 3,989.21

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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.