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Finding the Fourth Proportional to 7,866.24, 11,790.96 and 4,166.16

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Solution

The fourth proportional to 7,866.24, 11,790.96 and 4,166.16 is: 6,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.24 : 11,790.96 = 4,166.16 : x
  2. Step 2: Convert to fraction form
    7,866.24/11,790.96 = 4,166.16/x
  3. Step 3: Cross multiply
    7,866.24x = 11,790.96 × 4,166.16
  4. Step 4: Simplify right side
    7,866.24x = 49,123,025.91
  5. Step 5: Solve for x
    x = 49,123,025.91/7,866.24
  6. Step 6: Final answer
    x = 6,244.79

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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.