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Finding the Fourth Proportional to 7,344.74, 10,136.13 and 4,201.46

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Solution

The fourth proportional to 7,344.74, 10,136.13 and 4,201.46 is: 5,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.74 : 10,136.13 = 4,201.46 : x
  2. Step 2: Convert to fraction form
    7,344.74/10,136.13 = 4,201.46/x
  3. Step 3: Cross multiply
    7,344.74x = 10,136.13 × 4,201.46
  4. Step 4: Simplify right side
    7,344.74x = 42,586,544.75
  5. Step 5: Solve for x
    x = 42,586,544.75/7,344.74
  6. Step 6: Final answer
    x = 5,798.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.