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Finding the Fourth Proportional to 7,097.20, 10,620.60 and 6,182.80

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Solution

The fourth proportional to 7,097.20, 10,620.60 and 6,182.80 is: 9,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.20 : 10,620.60 = 6,182.80 : x
  2. Step 2: Convert to fraction form
    7,097.20/10,620.60 = 6,182.80/x
  3. Step 3: Cross multiply
    7,097.20x = 10,620.60 × 6,182.80
  4. Step 4: Simplify right side
    7,097.20x = 65,665,045.68
  5. Step 5: Solve for x
    x = 65,665,045.68/7,097.20
  6. Step 6: Final answer
    x = 9,252.25

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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.