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Finding the Fourth Proportional to 10,493.62, 15,736.65 and 3,472.34

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Solution

The fourth proportional to 10,493.62, 15,736.65 and 3,472.34 is: 5,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.62 : 15,736.65 = 3,472.34 : x
  2. Step 2: Convert to fraction form
    10,493.62/15,736.65 = 3,472.34/x
  3. Step 3: Cross multiply
    10,493.62x = 15,736.65 × 3,472.34
  4. Step 4: Simplify right side
    10,493.62x = 54,642,943.57
  5. Step 5: Solve for x
    x = 54,642,943.57/10,493.62
  6. Step 6: Final answer
    x = 5,207.25

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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.