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Finding the Fourth Proportional to 10,885.25, 16,334.01 and 4,644.68

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Solution

The fourth proportional to 10,885.25, 16,334.01 and 4,644.68 is: 6,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.25 : 16,334.01 = 4,644.68 : x
  2. Step 2: Convert to fraction form
    10,885.25/16,334.01 = 4,644.68/x
  3. Step 3: Cross multiply
    10,885.25x = 16,334.01 × 4,644.68
  4. Step 4: Simplify right side
    10,885.25x = 75,866,167.90
  5. Step 5: Solve for x
    x = 75,866,167.90/10,885.25
  6. Step 6: Final answer
    x = 6,969.63

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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.