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Finding the Fourth Proportional to 7,657.40, 11,486.15 and 2,727.23

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Solution

The fourth proportional to 7,657.40, 11,486.15 and 2,727.23 is: 4,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.40 : 11,486.15 = 2,727.23 : x
  2. Step 2: Convert to fraction form
    7,657.40/11,486.15 = 2,727.23/x
  3. Step 3: Cross multiply
    7,657.40x = 11,486.15 × 2,727.23
  4. Step 4: Simplify right side
    7,657.40x = 31,325,372.86
  5. Step 5: Solve for x
    x = 31,325,372.86/7,657.40
  6. Step 6: Final answer
    x = 4,090.86

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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.