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Finding the Fourth Proportional to 7,029.50, 10,540.77 and 2,347.90

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Solution

The fourth proportional to 7,029.50, 10,540.77 and 2,347.90 is: 3,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.50 : 10,540.77 = 2,347.90 : x
  2. Step 2: Convert to fraction form
    7,029.50/10,540.77 = 2,347.90/x
  3. Step 3: Cross multiply
    7,029.50x = 10,540.77 × 2,347.90
  4. Step 4: Simplify right side
    7,029.50x = 24,748,609.44
  5. Step 5: Solve for x
    x = 24,748,609.44/7,029.50
  6. Step 6: Final answer
    x = 3,520.68

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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.