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Finding the Fourth Proportional to 6,909.59, 10,365.80 and 2,527.43

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Solution

The fourth proportional to 6,909.59, 10,365.80 and 2,527.43 is: 3,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.59 : 10,365.80 = 2,527.43 : x
  2. Step 2: Convert to fraction form
    6,909.59/10,365.80 = 2,527.43/x
  3. Step 3: Cross multiply
    6,909.59x = 10,365.80 × 2,527.43
  4. Step 4: Simplify right side
    6,909.59x = 26,198,769.43
  5. Step 5: Solve for x
    x = 26,198,769.43/6,909.59
  6. Step 6: Final answer
    x = 3,791.66

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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.