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Finding the Fourth Proportional to 7,322.94, 10,106.24 and 4,179.06

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Solution

The fourth proportional to 7,322.94, 10,106.24 and 4,179.06 is: 5,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.94 : 10,106.24 = 4,179.06 : x
  2. Step 2: Convert to fraction form
    7,322.94/10,106.24 = 4,179.06/x
  3. Step 3: Cross multiply
    7,322.94x = 10,106.24 × 4,179.06
  4. Step 4: Simplify right side
    7,322.94x = 42,234,562.44
  5. Step 5: Solve for x
    x = 42,234,562.44/7,322.94
  6. Step 6: Final answer
    x = 5,767.43

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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.