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Finding the Fourth Proportional to 7,420.80, 11,131.20 and 6,857.60

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Solution

The fourth proportional to 7,420.80, 11,131.20 and 6,857.60 is: 10,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.80 : 11,131.20 = 6,857.60 : x
  2. Step 2: Convert to fraction form
    7,420.80/11,131.20 = 6,857.60/x
  3. Step 3: Cross multiply
    7,420.80x = 11,131.20 × 6,857.60
  4. Step 4: Simplify right side
    7,420.80x = 76,333,317.12
  5. Step 5: Solve for x
    x = 76,333,317.12/7,420.80
  6. Step 6: Final answer
    x = 10,286.40

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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.