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Finding the Fourth Proportional to 7,322.57, 10,105.19 and 4,178.76

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Solution

The fourth proportional to 7,322.57, 10,105.19 and 4,178.76 is: 5,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.57 : 10,105.19 = 4,178.76 : x
  2. Step 2: Convert to fraction form
    7,322.57/10,105.19 = 4,178.76/x
  3. Step 3: Cross multiply
    7,322.57x = 10,105.19 × 4,178.76
  4. Step 4: Simplify right side
    7,322.57x = 42,227,142.87
  5. Step 5: Solve for x
    x = 42,227,142.87/7,322.57
  6. Step 6: Final answer
    x = 5,766.71

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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.