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Finding the Fourth Proportional to 10,884.35, 16,326.52 and 7,185.71

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Solution

The fourth proportional to 10,884.35, 16,326.52 and 7,185.71 is: 10,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.35 : 16,326.52 = 7,185.71 : x
  2. Step 2: Convert to fraction form
    10,884.35/16,326.52 = 7,185.71/x
  3. Step 3: Cross multiply
    10,884.35x = 16,326.52 × 7,185.71
  4. Step 4: Simplify right side
    10,884.35x = 117,317,638.03
  5. Step 5: Solve for x
    x = 117,317,638.03/10,884.35
  6. Step 6: Final answer
    x = 10,778.56

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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.