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Finding the Fourth Proportional to 10,503, 15,757.06 and 3,207

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Solution

The fourth proportional to 10,503, 15,757.06 and 3,207 is: 4,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503 : 15,757.06 = 3,207 : x
  2. Step 2: Convert to fraction form
    10,503/15,757.06 = 3,207/x
  3. Step 3: Cross multiply
    10,503x = 15,757.06 × 3,207
  4. Step 4: Simplify right side
    10,503x = 50,532,891.42
  5. Step 5: Solve for x
    x = 50,532,891.42/10,503
  6. Step 6: Final answer
    x = 4,811.28

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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.