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Finding the Fourth Proportional to 8,527.26, 12,771.86 and 6,538.25

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Solution

The fourth proportional to 8,527.26, 12,771.86 and 6,538.25 is: 9,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.26 : 12,771.86 = 6,538.25 : x
  2. Step 2: Convert to fraction form
    8,527.26/12,771.86 = 6,538.25/x
  3. Step 3: Cross multiply
    8,527.26x = 12,771.86 × 6,538.25
  4. Step 4: Simplify right side
    8,527.26x = 83,505,541.47
  5. Step 5: Solve for x
    x = 83,505,541.47/8,527.26
  6. Step 6: Final answer
    x = 9,792.78

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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.