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Finding the Fourth Proportional to 7,685.26, 11,527.62 and 2,491

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Solution

The fourth proportional to 7,685.26, 11,527.62 and 2,491 is: 3,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.26 : 11,527.62 = 2,491 : x
  2. Step 2: Convert to fraction form
    7,685.26/11,527.62 = 2,491/x
  3. Step 3: Cross multiply
    7,685.26x = 11,527.62 × 2,491
  4. Step 4: Simplify right side
    7,685.26x = 28,715,301.42
  5. Step 5: Solve for x
    x = 28,715,301.42/7,685.26
  6. Step 6: Final answer
    x = 3,736.41

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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.