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Finding the Fourth Proportional to 8,122.76, 11,211.14 and 5,136.68

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Solution

The fourth proportional to 8,122.76, 11,211.14 and 5,136.68 is: 7,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.76 : 11,211.14 = 5,136.68 : x
  2. Step 2: Convert to fraction form
    8,122.76/11,211.14 = 5,136.68/x
  3. Step 3: Cross multiply
    8,122.76x = 11,211.14 × 5,136.68
  4. Step 4: Simplify right side
    8,122.76x = 57,588,038.62
  5. Step 5: Solve for x
    x = 57,588,038.62/8,122.76
  6. Step 6: Final answer
    x = 7,089.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.