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Finding the Fourth Proportional to 7,391.70, 11,136.20 and 6,419.70

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Solution

The fourth proportional to 7,391.70, 11,136.20 and 6,419.70 is: 9,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.70 : 11,136.20 = 6,419.70 : x
  2. Step 2: Convert to fraction form
    7,391.70/11,136.20 = 6,419.70/x
  3. Step 3: Cross multiply
    7,391.70x = 11,136.20 × 6,419.70
  4. Step 4: Simplify right side
    7,391.70x = 71,491,031.04
  5. Step 5: Solve for x
    x = 71,491,031.04/7,391.70
  6. Step 6: Final answer
    x = 9,671.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.