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Finding the Fourth Proportional to 8,329, 12,493.08 and 2,782.92

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Solution

The fourth proportional to 8,329, 12,493.08 and 2,782.92 is: 4,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329 : 12,493.08 = 2,782.92 : x
  2. Step 2: Convert to fraction form
    8,329/12,493.08 = 2,782.92/x
  3. Step 3: Cross multiply
    8,329x = 12,493.08 × 2,782.92
  4. Step 4: Simplify right side
    8,329x = 34,767,242.19
  5. Step 5: Solve for x
    x = 34,767,242.19/8,329
  6. Step 6: Final answer
    x = 4,174.24

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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.