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Finding the Fourth Proportional to 7,657.26, 11,491.65 and 6,136.62

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Solution

The fourth proportional to 7,657.26, 11,491.65 and 6,136.62 is: 9,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.26 : 11,491.65 = 6,136.62 : x
  2. Step 2: Convert to fraction form
    7,657.26/11,491.65 = 6,136.62/x
  3. Step 3: Cross multiply
    7,657.26x = 11,491.65 × 6,136.62
  4. Step 4: Simplify right side
    7,657.26x = 70,519,889.22
  5. Step 5: Solve for x
    x = 70,519,889.22/7,657.26
  6. Step 6: Final answer
    x = 9,209.55

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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.