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Finding the Fourth Proportional to 10,093.84, 15,142.42 and 3,521.94

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Solution

The fourth proportional to 10,093.84, 15,142.42 and 3,521.94 is: 5,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.84 : 15,142.42 = 3,521.94 : x
  2. Step 2: Convert to fraction form
    10,093.84/15,142.42 = 3,521.94/x
  3. Step 3: Cross multiply
    10,093.84x = 15,142.42 × 3,521.94
  4. Step 4: Simplify right side
    10,093.84x = 53,330,694.69
  5. Step 5: Solve for x
    x = 53,330,694.69/10,093.84
  6. Step 6: Final answer
    x = 5,283.49

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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.