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Finding the Fourth Proportional to 7,267.78, 10,905.81 and 6,049.95

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Solution

The fourth proportional to 7,267.78, 10,905.81 and 6,049.95 is: 9,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.78 : 10,905.81 = 6,049.95 : x
  2. Step 2: Convert to fraction form
    7,267.78/10,905.81 = 6,049.95/x
  3. Step 3: Cross multiply
    7,267.78x = 10,905.81 × 6,049.95
  4. Step 4: Simplify right side
    7,267.78x = 65,979,605.21
  5. Step 5: Solve for x
    x = 65,979,605.21/7,267.78
  6. Step 6: Final answer
    x = 9,078.37

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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.