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Finding the Fourth Proportional to 7,364.05, 10,160.10 and 4,176.82

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Solution

The fourth proportional to 7,364.05, 10,160.10 and 4,176.82 is: 5,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.05 : 10,160.10 = 4,176.82 : x
  2. Step 2: Convert to fraction form
    7,364.05/10,160.10 = 4,176.82/x
  3. Step 3: Cross multiply
    7,364.05x = 10,160.10 × 4,176.82
  4. Step 4: Simplify right side
    7,364.05x = 42,436,908.88
  5. Step 5: Solve for x
    x = 42,436,908.88/7,364.05
  6. Step 6: Final answer
    x = 5,762.71

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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.