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Finding the Fourth Proportional to 10,205.31, 15,310.53 and 4,942.84

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Solution

The fourth proportional to 10,205.31, 15,310.53 and 4,942.84 is: 7,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.31 : 15,310.53 = 4,942.84 : x
  2. Step 2: Convert to fraction form
    10,205.31/15,310.53 = 4,942.84/x
  3. Step 3: Cross multiply
    10,205.31x = 15,310.53 × 4,942.84
  4. Step 4: Simplify right side
    10,205.31x = 75,677,500.11
  5. Step 5: Solve for x
    x = 75,677,500.11/10,205.31
  6. Step 6: Final answer
    x = 7,415.50

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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.