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Finding the Fourth Proportional to 7,136.62, 10,711.90 and 3,856.72

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Solution

The fourth proportional to 7,136.62, 10,711.90 and 3,856.72 is: 5,788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.62 : 10,711.90 = 3,856.72 : x
  2. Step 2: Convert to fraction form
    7,136.62/10,711.90 = 3,856.72/x
  3. Step 3: Cross multiply
    7,136.62x = 10,711.90 × 3,856.72
  4. Step 4: Simplify right side
    7,136.62x = 41,312,798.97
  5. Step 5: Solve for x
    x = 41,312,798.97/7,136.62
  6. Step 6: Final answer
    x = 5,788.85

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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.