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Finding the Fourth Proportional to 7,295.05, 10,942.04 and 2,851.88

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Solution

The fourth proportional to 7,295.05, 10,942.04 and 2,851.88 is: 4,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.05 : 10,942.04 = 2,851.88 : x
  2. Step 2: Convert to fraction form
    7,295.05/10,942.04 = 2,851.88/x
  3. Step 3: Cross multiply
    7,295.05x = 10,942.04 × 2,851.88
  4. Step 4: Simplify right side
    7,295.05x = 31,205,385.04
  5. Step 5: Solve for x
    x = 31,205,385.04/7,295.05
  6. Step 6: Final answer
    x = 4,277.61

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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.