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Finding the Fourth Proportional to 11,605.50, 17,385.84 and 6,929.26

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Solution

The fourth proportional to 11,605.50, 17,385.84 and 6,929.26 is: 10,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.50 : 17,385.84 = 6,929.26 : x
  2. Step 2: Convert to fraction form
    11,605.50/17,385.84 = 6,929.26/x
  3. Step 3: Cross multiply
    11,605.50x = 17,385.84 × 6,929.26
  4. Step 4: Simplify right side
    11,605.50x = 120,470,962.21
  5. Step 5: Solve for x
    x = 120,470,962.21/11,605.50
  6. Step 6: Final answer
    x = 10,380.51

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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.