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Finding the Fourth Proportional to 7,075.55, 9,764.31 and 4,424.49

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Solution

The fourth proportional to 7,075.55, 9,764.31 and 4,424.49 is: 6,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.55 : 9,764.31 = 4,424.49 : x
  2. Step 2: Convert to fraction form
    7,075.55/9,764.31 = 4,424.49/x
  3. Step 3: Cross multiply
    7,075.55x = 9,764.31 × 4,424.49
  4. Step 4: Simplify right side
    7,075.55x = 43,202,091.95
  5. Step 5: Solve for x
    x = 43,202,091.95/7,075.55
  6. Step 6: Final answer
    x = 6,105.83

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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.