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Finding the Fourth Proportional to 7,738.92, 10,679.73 and 4,202.10

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Solution

The fourth proportional to 7,738.92, 10,679.73 and 4,202.10 is: 5,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.92 : 10,679.73 = 4,202.10 : x
  2. Step 2: Convert to fraction form
    7,738.92/10,679.73 = 4,202.10/x
  3. Step 3: Cross multiply
    7,738.92x = 10,679.73 × 4,202.10
  4. Step 4: Simplify right side
    7,738.92x = 44,877,293.43
  5. Step 5: Solve for x
    x = 44,877,293.43/7,738.92
  6. Step 6: Final answer
    x = 5,798.91

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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.