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Finding the Fourth Proportional to 8,270.80, 12,400.44 and 3,075.28

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Solution

The fourth proportional to 8,270.80, 12,400.44 and 3,075.28 is: 4,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.80 : 12,400.44 = 3,075.28 : x
  2. Step 2: Convert to fraction form
    8,270.80/12,400.44 = 3,075.28/x
  3. Step 3: Cross multiply
    8,270.80x = 12,400.44 × 3,075.28
  4. Step 4: Simplify right side
    8,270.80x = 38,134,825.12
  5. Step 5: Solve for x
    x = 38,134,825.12/8,270.80
  6. Step 6: Final answer
    x = 4,610.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.