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Finding the Fourth Proportional to 6,163.60, 9,254.76 and 5,383.12

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Solution

The fourth proportional to 6,163.60, 9,254.76 and 5,383.12 is: 8,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.60 : 9,254.76 = 5,383.12 : x
  2. Step 2: Convert to fraction form
    6,163.60/9,254.76 = 5,383.12/x
  3. Step 3: Cross multiply
    6,163.60x = 9,254.76 × 5,383.12
  4. Step 4: Simplify right side
    6,163.60x = 49,819,483.65
  5. Step 5: Solve for x
    x = 49,819,483.65/6,163.60
  6. Step 6: Final answer
    x = 8,082.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.