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Finding the Fourth Proportional to 10,876.80, 16,315.82 and 3,085

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Solution

The fourth proportional to 10,876.80, 16,315.82 and 3,085 is: 4,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.80 : 16,315.82 = 3,085 : x
  2. Step 2: Convert to fraction form
    10,876.80/16,315.82 = 3,085/x
  3. Step 3: Cross multiply
    10,876.80x = 16,315.82 × 3,085
  4. Step 4: Simplify right side
    10,876.80x = 50,334,304.70
  5. Step 5: Solve for x
    x = 50,334,304.70/10,876.80
  6. Step 6: Final answer
    x = 4,627.68

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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.