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Finding the Fourth Proportional to 6,527.96, 9,792.50 and 2,086.26

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Solution

The fourth proportional to 6,527.96, 9,792.50 and 2,086.26 is: 3,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.96 : 9,792.50 = 2,086.26 : x
  2. Step 2: Convert to fraction form
    6,527.96/9,792.50 = 2,086.26/x
  3. Step 3: Cross multiply
    6,527.96x = 9,792.50 × 2,086.26
  4. Step 4: Simplify right side
    6,527.96x = 20,429,701.05
  5. Step 5: Solve for x
    x = 20,429,701.05/6,527.96
  6. Step 6: Final answer
    x = 3,129.57

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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.