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Finding the Fourth Proportional to 7,203.77, 10,798.24 and 2,760.23

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Solution

The fourth proportional to 7,203.77, 10,798.24 and 2,760.23 is: 4,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.77 : 10,798.24 = 2,760.23 : x
  2. Step 2: Convert to fraction form
    7,203.77/10,798.24 = 2,760.23/x
  3. Step 3: Cross multiply
    7,203.77x = 10,798.24 × 2,760.23
  4. Step 4: Simplify right side
    7,203.77x = 29,805,572.00
  5. Step 5: Solve for x
    x = 29,805,572.00/7,203.77
  6. Step 6: Final answer
    x = 4,137.50

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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.