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Finding the Fourth Proportional to 7,594.20, 11,385.90 and 3,430.80

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Solution

The fourth proportional to 7,594.20, 11,385.90 and 3,430.80 is: 5,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.20 : 11,385.90 = 3,430.80 : x
  2. Step 2: Convert to fraction form
    7,594.20/11,385.90 = 3,430.80/x
  3. Step 3: Cross multiply
    7,594.20x = 11,385.90 × 3,430.80
  4. Step 4: Simplify right side
    7,594.20x = 39,062,745.72
  5. Step 5: Solve for x
    x = 39,062,745.72/7,594.20
  6. Step 6: Final answer
    x = 5,143.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.