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Finding the Fourth Proportional to 11,873.25, 16,384.59 and 6,567.73

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Solution

The fourth proportional to 11,873.25, 16,384.59 and 6,567.73 is: 9,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.25 : 16,384.59 = 6,567.73 : x
  2. Step 2: Convert to fraction form
    11,873.25/16,384.59 = 6,567.73/x
  3. Step 3: Cross multiply
    11,873.25x = 16,384.59 × 6,567.73
  4. Step 4: Simplify right side
    11,873.25x = 107,609,563.28
  5. Step 5: Solve for x
    x = 107,609,563.28/11,873.25
  6. Step 6: Final answer
    x = 9,063.19

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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.