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Finding the Fourth Proportional to 7,537.71, 10,400.79 and 4,179.99

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Solution

The fourth proportional to 7,537.71, 10,400.79 and 4,179.99 is: 5,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.71 : 10,400.79 = 4,179.99 : x
  2. Step 2: Convert to fraction form
    7,537.71/10,400.79 = 4,179.99/x
  3. Step 3: Cross multiply
    7,537.71x = 10,400.79 × 4,179.99
  4. Step 4: Simplify right side
    7,537.71x = 43,475,213.87
  5. Step 5: Solve for x
    x = 43,475,213.87/7,537.71
  6. Step 6: Final answer
    x = 5,767.70

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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.