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Finding the Fourth Proportional to 8,252.88, 12,379.86 and 2,409

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Solution

The fourth proportional to 8,252.88, 12,379.86 and 2,409 is: 3,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.88 : 12,379.86 = 2,409 : x
  2. Step 2: Convert to fraction form
    8,252.88/12,379.86 = 2,409/x
  3. Step 3: Cross multiply
    8,252.88x = 12,379.86 × 2,409
  4. Step 4: Simplify right side
    8,252.88x = 29,823,082.74
  5. Step 5: Solve for x
    x = 29,823,082.74/8,252.88
  6. Step 6: Final answer
    x = 3,613.66

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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.