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Finding the Fourth Proportional to 10,493.40, 15,734.70 and 3,916.20

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Solution

The fourth proportional to 10,493.40, 15,734.70 and 3,916.20 is: 5,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.40 : 15,734.70 = 3,916.20 : x
  2. Step 2: Convert to fraction form
    10,493.40/15,734.70 = 3,916.20/x
  3. Step 3: Cross multiply
    10,493.40x = 15,734.70 × 3,916.20
  4. Step 4: Simplify right side
    10,493.40x = 61,620,232.14
  5. Step 5: Solve for x
    x = 61,620,232.14/10,493.40
  6. Step 6: Final answer
    x = 5,872.28

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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.