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Finding the Fourth Proportional to 10,028.10, 15,042.42 and 3,364.50

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Solution

The fourth proportional to 10,028.10, 15,042.42 and 3,364.50 is: 5,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.10 : 15,042.42 = 3,364.50 : x
  2. Step 2: Convert to fraction form
    10,028.10/15,042.42 = 3,364.50/x
  3. Step 3: Cross multiply
    10,028.10x = 15,042.42 × 3,364.50
  4. Step 4: Simplify right side
    10,028.10x = 50,610,222.09
  5. Step 5: Solve for x
    x = 50,610,222.09/10,028.10
  6. Step 6: Final answer
    x = 5,046.84

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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.