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Finding the Fourth Proportional to 6,909.75, 10,364.74 and 2,527.18

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Solution

The fourth proportional to 6,909.75, 10,364.74 and 2,527.18 is: 3,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.75 : 10,364.74 = 2,527.18 : x
  2. Step 2: Convert to fraction form
    6,909.75/10,364.74 = 2,527.18/x
  3. Step 3: Cross multiply
    6,909.75x = 10,364.74 × 2,527.18
  4. Step 4: Simplify right side
    6,909.75x = 26,193,531.40
  5. Step 5: Solve for x
    x = 26,193,531.40/6,909.75
  6. Step 6: Final answer
    x = 3,790.81

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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.