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Finding the Fourth Proportional to 11,829.30, 16,323.72 and 6,524.16

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Solution

The fourth proportional to 11,829.30, 16,323.72 and 6,524.16 is: 9,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.30 : 16,323.72 = 6,524.16 : x
  2. Step 2: Convert to fraction form
    11,829.30/16,323.72 = 6,524.16/x
  3. Step 3: Cross multiply
    11,829.30x = 16,323.72 × 6,524.16
  4. Step 4: Simplify right side
    11,829.30x = 106,498,561.08
  5. Step 5: Solve for x
    x = 106,498,561.08/11,829.30
  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.