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Finding the Fourth Proportional to 10,604.10, 15,906.15 and 4,772.10

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Solution

The fourth proportional to 10,604.10, 15,906.15 and 4,772.10 is: 7,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.10 : 15,906.15 = 4,772.10 : x
  2. Step 2: Convert to fraction form
    10,604.10/15,906.15 = 4,772.10/x
  3. Step 3: Cross multiply
    10,604.10x = 15,906.15 × 4,772.10
  4. Step 4: Simplify right side
    10,604.10x = 75,905,738.42
  5. Step 5: Solve for x
    x = 75,905,738.42/10,604.10
  6. Step 6: Final answer
    x = 7,158.15

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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.