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Finding the Fourth Proportional to 11,829.24, 16,323.93 and 6,524.04

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Solution

The fourth proportional to 11,829.24, 16,323.93 and 6,524.04 is: 9,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.24 : 16,323.93 = 6,524.04 : x
  2. Step 2: Convert to fraction form
    11,829.24/16,323.93 = 6,524.04/x
  3. Step 3: Cross multiply
    11,829.24x = 16,323.93 × 6,524.04
  4. Step 4: Simplify right side
    11,829.24x = 106,498,033.49
  5. Step 5: Solve for x
    x = 106,498,033.49/11,829.24
  6. Step 6: Final answer
    x = 9,002.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.