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Finding the Fourth Proportional to 8,265.24, 12,385.80 and 3,824.26

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Solution

The fourth proportional to 8,265.24, 12,385.80 and 3,824.26 is: 5,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.24 : 12,385.80 = 3,824.26 : x
  2. Step 2: Convert to fraction form
    8,265.24/12,385.80 = 3,824.26/x
  3. Step 3: Cross multiply
    8,265.24x = 12,385.80 × 3,824.26
  4. Step 4: Simplify right side
    8,265.24x = 47,366,519.51
  5. Step 5: Solve for x
    x = 47,366,519.51/8,265.24
  6. Step 6: Final answer
    x = 5,730.81

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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.