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Finding the Fourth Proportional to 7,462.85, 11,183.81 and 5,895.99

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Solution

The fourth proportional to 7,462.85, 11,183.81 and 5,895.99 is: 8,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.85 : 11,183.81 = 5,895.99 : x
  2. Step 2: Convert to fraction form
    7,462.85/11,183.81 = 5,895.99/x
  3. Step 3: Cross multiply
    7,462.85x = 11,183.81 × 5,895.99
  4. Step 4: Simplify right side
    7,462.85x = 65,939,602.44
  5. Step 5: Solve for x
    x = 65,939,602.44/7,462.85
  6. Step 6: Final answer
    x = 8,835.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.