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Finding the Fourth Proportional to 7,026.50, 10,539.94 and 1,832.42

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Solution

The fourth proportional to 7,026.50, 10,539.94 and 1,832.42 is: 2,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.50 : 10,539.94 = 1,832.42 : x
  2. Step 2: Convert to fraction form
    7,026.50/10,539.94 = 1,832.42/x
  3. Step 3: Cross multiply
    7,026.50x = 10,539.94 × 1,832.42
  4. Step 4: Simplify right side
    7,026.50x = 19,313,596.85
  5. Step 5: Solve for x
    x = 19,313,596.85/7,026.50
  6. Step 6: Final answer
    x = 2,748.68

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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.