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Finding the Fourth Proportional to 5,163.14, 7,695.05 and 5,154.94

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Solution

The fourth proportional to 5,163.14, 7,695.05 and 5,154.94 is: 7,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.14 : 7,695.05 = 5,154.94 : x
  2. Step 2: Convert to fraction form
    5,163.14/7,695.05 = 5,154.94/x
  3. Step 3: Cross multiply
    5,163.14x = 7,695.05 × 5,154.94
  4. Step 4: Simplify right side
    5,163.14x = 39,667,533.89
  5. Step 5: Solve for x
    x = 39,667,533.89/5,163.14
  6. Step 6: Final answer
    x = 7,682.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.