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Finding the Fourth Proportional to 10,884.54, 16,327.95 and 4,645.22

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Solution

The fourth proportional to 10,884.54, 16,327.95 and 4,645.22 is: 6,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.54 : 16,327.95 = 4,645.22 : x
  2. Step 2: Convert to fraction form
    10,884.54/16,327.95 = 4,645.22/x
  3. Step 3: Cross multiply
    10,884.54x = 16,327.95 × 4,645.22
  4. Step 4: Simplify right side
    10,884.54x = 75,846,838.26
  5. Step 5: Solve for x
    x = 75,846,838.26/10,884.54
  6. Step 6: Final answer
    x = 6,968.31

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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.