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Finding the Fourth Proportional to 7,210.98, 10,797.78 and 6,177.60

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Solution

The fourth proportional to 7,210.98, 10,797.78 and 6,177.60 is: 9,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.98 : 10,797.78 = 6,177.60 : x
  2. Step 2: Convert to fraction form
    7,210.98/10,797.78 = 6,177.60/x
  3. Step 3: Cross multiply
    7,210.98x = 10,797.78 × 6,177.60
  4. Step 4: Simplify right side
    7,210.98x = 66,704,365.73
  5. Step 5: Solve for x
    x = 66,704,365.73/7,210.98
  6. Step 6: Final answer
    x = 9,250.39

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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.