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Finding the Fourth Proportional to 7,104.56, 9,804.38 and 4,120.52

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Solution

The fourth proportional to 7,104.56, 9,804.38 and 4,120.52 is: 5,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.56 : 9,804.38 = 4,120.52 : x
  2. Step 2: Convert to fraction form
    7,104.56/9,804.38 = 4,120.52/x
  3. Step 3: Cross multiply
    7,104.56x = 9,804.38 × 4,120.52
  4. Step 4: Simplify right side
    7,104.56x = 40,399,074.25
  5. Step 5: Solve for x
    x = 40,399,074.25/7,104.56
  6. Step 6: Final answer
    x = 5,686.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.