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Finding the Fourth Proportional to 8,782.24, 13,169.86 and 4,162

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Solution

The fourth proportional to 8,782.24, 13,169.86 and 4,162 is: 6,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.24 : 13,169.86 = 4,162 : x
  2. Step 2: Convert to fraction form
    8,782.24/13,169.86 = 4,162/x
  3. Step 3: Cross multiply
    8,782.24x = 13,169.86 × 4,162
  4. Step 4: Simplify right side
    8,782.24x = 54,812,957.32
  5. Step 5: Solve for x
    x = 54,812,957.32/8,782.24
  6. Step 6: Final answer
    x = 6,241.34

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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.