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Finding the Fourth Proportional to 7,586.37, 11,379.65 and 3,206.91

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Solution

The fourth proportional to 7,586.37, 11,379.65 and 3,206.91 is: 4,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.37 : 11,379.65 = 3,206.91 : x
  2. Step 2: Convert to fraction form
    7,586.37/11,379.65 = 3,206.91/x
  3. Step 3: Cross multiply
    7,586.37x = 11,379.65 × 3,206.91
  4. Step 4: Simplify right side
    7,586.37x = 36,493,513.38
  5. Step 5: Solve for x
    x = 36,493,513.38/7,586.37
  6. Step 6: Final answer
    x = 4,810.41

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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.