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Finding the Fourth Proportional to 7,109.40, 10,649.70 and 4,027.80

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Solution

The fourth proportional to 7,109.40, 10,649.70 and 4,027.80 is: 6,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.40 : 10,649.70 = 4,027.80 : x
  2. Step 2: Convert to fraction form
    7,109.40/10,649.70 = 4,027.80/x
  3. Step 3: Cross multiply
    7,109.40x = 10,649.70 × 4,027.80
  4. Step 4: Simplify right side
    7,109.40x = 42,894,861.66
  5. Step 5: Solve for x
    x = 42,894,861.66/7,109.40
  6. Step 6: Final answer
    x = 6,033.54

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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.