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Finding the Fourth Proportional to 7,203.83, 10,798.25 and 3,040.37

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Solution

The fourth proportional to 7,203.83, 10,798.25 and 3,040.37 is: 4,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.83 : 10,798.25 = 3,040.37 : x
  2. Step 2: Convert to fraction form
    7,203.83/10,798.25 = 3,040.37/x
  3. Step 3: Cross multiply
    7,203.83x = 10,798.25 × 3,040.37
  4. Step 4: Simplify right side
    7,203.83x = 32,830,621.36
  5. Step 5: Solve for x
    x = 32,830,621.36/7,203.83
  6. Step 6: Final answer
    x = 4,557.38

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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.