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Finding the Fourth Proportional to 10,954.50, 16,441.50 and 5,114.40

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Solution

The fourth proportional to 10,954.50, 16,441.50 and 5,114.40 is: 7,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.50 : 16,441.50 = 5,114.40 : x
  2. Step 2: Convert to fraction form
    10,954.50/16,441.50 = 5,114.40/x
  3. Step 3: Cross multiply
    10,954.50x = 16,441.50 × 5,114.40
  4. Step 4: Simplify right side
    10,954.50x = 84,088,407.60
  5. Step 5: Solve for x
    x = 84,088,407.60/10,954.50
  6. Step 6: Final answer
    x = 7,676.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.